The generator matrix

 1  0  1  1  1 14  1  1  1  8  1  2  0  2  1  1
 0  1 11 14  5  1  0  6  3  1 11  8  1  8  0  0
 0  0 12  4  0  4 12  0  0 12  4  4  8  4  0  0
 0  0  0  8  0  0  0  0  0  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+71x^8+352x^10+64x^11+1558x^12+2880x^13+3744x^14+13440x^15+21311x^16+13440x^17+3744x^18+2880x^19+1572x^20+64x^21+352x^22+57x^24+6x^28

The gray image is a code over GF(2) with n=128, k=16 and d=32.
This code was found by Heurico 1.16 in 1.46 seconds.