The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  1  1  1  1
 0  1 11  6  1  1  3  0  1  3 13  3  5  8  0
 0  0 12  0  0  0  0  4  8 12 12 12  4  4  0
 0  0  0 12  0  4  4  4  8 12  4  8  8  0  0
 0  0  0  0  4  0  4  0  4  8 12  4 12  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  8  8  8  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+40x^8+90x^9+159x^10+634x^11+1641x^12+5204x^13+14535x^14+20918x^15+14538x^16+5196x^17+1669x^18+646x^19+155x^20+68x^21+21x^22+10x^23+9x^24+2x^25

The gray image is a code over GF(2) with n=120, k=16 and d=32.
This code was found by Heurico 1.16 in 2.41 seconds.