Thanks Travis. I finally managed to find a solution for the cylindrical projection.
Code:
0 // btw: I changed the unit to degrees instead of radians
0 !TEXMAP START CYLINDRICAL 15 10 0 15 0 0 15 10 -5 180 checker.png
0 !: 1 16 15 0 0 5 0 0 0 10 0 0 0 5 4-4cyli.dat
0 !TEXMAP FALLBACK
1 16 15 0 0 5 0 0 0 10 0 0 0 5 4-4cyli.dat
0 !TEXMAP END