You could try this color scheme and see if it works for you:
BUT FIRST:
If you think about the official color scheme, it has those 3 rules:
1-A color can be made of the values, 0 and/or 128.
2-A color can be made of the values 0 and/or 255.
3-A color can be made of the value 192 (the average of the values that arent present at both rule 1 and 2).
You can change the 3 rules for that ones:
1-A color can be made of the values, 0 and/or 255.
2-A color can be made of the values 128 and/or 255.
3-A color can be made of the value 64 (the average of the values that aren't present at both rule 1 and 2).
The result:
[BLACK_R:0]
[BLACK_G:0]
[BLACK_B:0]
[BLUE_R:0]
[BLUE_G:0]
[BLUE_B:255]
[GREEN_R:0]
[GREEN_G:255]
[GREEN_B:0]
[CYAN_R:0]
[CYAN_G:255]
[CYAN_B:255]
[RED_R:255]
[RED_G:0]
[RED_B:0]
[MAGENTA_R:255]
[MAGENTA_G:0]
[MAGENTA_B:255]
[BROWN_R:255]
[BROWN_G:255]
[BROWN_B:0]
[LGRAY_R:128]
[LGRAY_G:128]
[LGRAY_B:128]
[DGRAY_R:64]
[DGRAY_G:64]
[DGRAY_B:64]
[LBLUE_R:128]
[LBLUE_G:128]
[LBLUE_B:255]
[LGREEN_R:128]
[LGREEN_G:255]
[LGREEN_B:128]
[LCYAN_R:128]
[LCYAN_G:255]
[LCYAN_B:255]
[LRED_R:255]
[LRED_G:128]
[LRED_B:128]
[LMAGENTA_R:255]
[LMAGENTA_G:128]
[LMAGENTA_B:255]
[YELLOW_R:255]
[YELLOW_G:255]
[YELLOW_B:128]
[WHITE_R:255]
[WHITE_G:255]
[WHITE_B:255]
EDIT:Since you want not just a brither scheme, but a "white background scheme", you can test this and see if it works. It basically get the previous idea and invert the dark and light versions of the color (white is black, black is white, light blue is dark blue, dark blue is light blue.....).
[BLACK_R:255]
[BLACK_G:255]
[BLACK_B:255]
[BLUE_R:127]
[BLUE_G:127]
[BLUE_B:255]
[GREEN_R:127]
[GREEN_G:255]
[GREEN_B:127]
[CYAN_R:127]
[CYAN_G:255]
[CYAN_B:255]
[RED_R:255]
[RED_G:127]
[RED_B:127]
[MAGENTA_R:255]
[MAGENTA_G:127]
[MAGENTA_B:255]
[BROWN_R:255]
[BROWN_G:255]
[BROWN_B:127]
[LGRAY_R:64]
[LGRAY_G:64]
[LGRAY_B:64]
[DGRAY_R:128]
[DGRAY_G:128]
[DGRAY_B:128]
[LBLUE_R:0]
[LBLUE_G:0]
[LBLUE_B:255]
[LGREEN_R:0]
[LGREEN_G:255]
[LGREEN_B:0]
[LCYAN_R:0]
[LCYAN_G:255]
[LCYAN_B:255]
[LRED_R:255]
[LRED_G:0]
[LRED_B:0]
[LMAGENTA_R:255]
[LMAGENTA_G:0]
[LMAGENTA_B:255]
[YELLOW_R:255]
[YELLOW_G:255]
[YELLOW_B:0]
[WHITE_R:0]
[WHITE_G:0]
[WHITE_B:0]