The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+95x^8+230x^10+1278x^12+3484x^14+22635x^16+3416x^18+1264x^20+292x^22+69x^24+2x^26+2x^28

The gray image is a code over GF(2) with n=128, k=15 and d=32.
This code was found by Heurico 1.16 in 0.857 seconds.