The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^10+138x^11+298x^12+798x^13+1419x^14+2732x^15+1527x^16+820x^17+245x^18+106x^19+46x^20+14x^21+5x^22+1x^26

The gray image is a code over GF(2) with n=120, k=13 and d=40.
This code was found by Heurico 1.16 in 0.129 seconds.