The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  2  1  1
 0  1  3  6  5  1 12  7  1  6  3  1  0  0  0
 0  0  8  0  0  0  0  0  0  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  8  8  0  8  0  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+46x^8+112x^10+256x^11+517x^12+1280x^13+3400x^14+5120x^15+3477x^16+1280x^17+448x^18+256x^19+170x^20+8x^22+12x^24+1x^28

The gray image is a code over GF(2) with n=120, k=14 and d=32.
This code was found by Heurico 1.16 in 0.113 seconds.