The generator matrix

 1  0  1  1  1 14  1  1  1  1  0 14  2  1  1  1
 0  1 11  6  1  1  0  3 13  5  1  1 10 15  0  0
 0  0 12  0  0  0  4  0  4  4  4  8  4  8  0  0
 0  0  0 12  0  0  4  4  4  8 12 12 12  0  4  0
 0  0  0  0  4  4  8 12  4 12  8  0  0  0 12  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0

generates a code of length 16 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+61x^10+104x^11+392x^12+1090x^13+2707x^14+6996x^15+10036x^16+7006x^17+2757x^18+1088x^19+379x^20+94x^21+41x^22+4x^23+7x^24+2x^25+2x^26+1x^28

The gray image is a code over GF(2) with n=128, k=15 and d=40.
This code was found by Heurico 1.16 in 1.33 seconds.