The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^8+200x^10+64x^11+1039x^12+576x^13+2088x^14+1408x^15+21805x^16+1408x^17+2136x^18+576x^19+1086x^20+64x^21+184x^22+52x^24+3x^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 0.783 seconds.