The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+12x^9+36x^10+222x^11+404x^12+1666x^13+2524x^14+5774x^15+11485x^16+5786x^17+2524x^18+1674x^19+388x^20+214x^21+36x^22+10x^23+10x^24+2x^25

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 37.9 seconds.