The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  1 14  0  1
 0  1  0  1  6  7  1 11  6  1 12 15  1  2  0
 0  0  1  1  3  2  3  0  1  1  2  4  2  4  0
 0  0  0 12  0  0  8  4  4  8  4  4  0 12  0
 0  0  0  0  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  0  8

generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+112x^10+534x^11+1935x^12+5648x^13+13878x^14+21398x^15+13710x^16+5728x^17+2004x^18+466x^19+97x^20+16x^21+6x^22+2x^23+1x^24

The gray image is a code over GF(2) with n=120, k=16 and d=40.
This code was found by Heurico 1.16 in 3.79 seconds.