The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  1
 0 12  0  0  0  0  0  4  8 12  8  4  0  0  0
 0  0 12  0  0  0  0  4  0  0  4 12  8  8  0
 0  0  0 12  0  0  0  4  4  8  0  4 12 12  0
 0  0  0  0 12  0  4  4  4  4  4  8  0  8  0
 0  0  0  0  0 12  4  0  4 12 12 12  4 12  0
 0  0  0  0  0  0  8  8  0  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+130x^8+114x^9+313x^10+320x^11+688x^12+2056x^13+912x^14+23680x^15+917x^16+2076x^17+698x^18+320x^19+312x^20+104x^21+120x^22+2x^25+5x^26

The gray image is a code over GF(2) with n=120, k=15 and d=32.
This code was found by Heurico 1.16 in 1.31 seconds.