Good lighting for a print will allow you to get viewing conditions close to the density range that would be measured by a densitometer*, while poor lighting will reduce the apparent density range. This generally means that the print needs to be lit at 45 degrees to the viewing axis with little light arriving from anywhere near to the viewing axis, so that there are no specular reflections. In general I find that the greater the density range of a glossy print, the more important is the lighting. Matte prints, though they have a lower measured density range, appear to be more able to hold up in poor lighting because the high density is less reliant on lighting angle - the blacks are velvety.
A 6-stop density range is at the low end of what can be expected from a glossy inkjet print. What paper and ink/printer were you using, and how were you measuring the range?
Edit: Doing a 0/1 - 254/255 test is quite demanding on the monitor and monitor profile - the contrast between 0 and 1, and 254 and 255 is not a fixed value and it is affected by the monitor contrast range and the monitor profile. An alternative method for the simultaneous contrast test might be to start with pairs of values that are discernible when they are the sole values displayed, then make the test screen with the two pairs to see if they are simultaneously discernible. If anyone wants a test file with all 256 values arranged so that value x can be compared to values 1, 2, 3 and 4 away (and which can, of course, be cropped to show a limited range or set of ranges) I will try to make it available on here, or email it.
Best,
Helen
*Typically a reflection densitometer reads at exactly 45 degrees to the axis of illumination - either the illumination is in a ring at 45 degrees to the measurement cell which is at right angles to the print - the typical Macbeth (sic) arrangement - or vice-versa.