Just tried my usual 16-trinket path, got 22:29 and 46 deaths.
For those wondering, what I do is to take all trinkets in the levels, plus one overworld trinket. The exact path:
* Clear SS1
* Clear Lab
* Clear SS2
* Clear Intermission 1
* Clear Tower
* Clear Intermission 2
* On the way to the Warp Zone, take the trinket that is around the rooms that look the same
* Clear Warp Zone
* Clear Final Level