The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+66x^9+158x^10+256x^11+445x^12+764x^13+1615x^14+7096x^15+11910x^16+7112x^17+1691x^18+784x^19+423x^20+244x^21+117x^22+56x^23+21x^24+6x^25+3x^26

The gray image is a code over GF(2) with n=128, k=15 and d=36.
This code was found by Heurico 1.16 in 1.9 seconds.