The generator matrix

 1  1  1  1  2  1  1  0  1  1  1  4  1  2  4
 0  2  0  6  2  0  6  2 10  0  0  8  4 12  8
 0  0 12  0  0  0  0  0  0  4  4  8 12  4  8
 0  0  0 12  0  0  4  0 12  4 12  4  8  8  4
 0  0  0  0  4  0  4 12  8 12  8  0  4  8  4
 0  0  0  0  0 12  8  4  4  4  0 12  4  4  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+98x^9+249x^10+456x^11+1271x^12+3454x^13+6681x^14+8348x^15+6624x^16+3486x^17+1363x^18+464x^19+165x^20+66x^21+27x^22+12x^23+3x^24

The gray image is a code over GF(2) with n=120, k=15 and d=36.
This code was found by Heurico 1.16 in 2.62 seconds.