The generator matrix

 1  0  1  1  1 12  2  1  1 10  1  1  4  1  1  1
 0  1  1 12 11  1  2 10 13  1  2  5  1  4  0  0
 0  0  2  6  4  6  2 14  4  6  2  0  2  2  0  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  8  0  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  0  8  8  0  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+20x^8+16x^9+100x^10+688x^11+665x^12+2896x^13+5400x^14+12784x^15+20389x^16+12784x^17+5416x^18+2896x^19+662x^20+688x^21+88x^22+16x^23+22x^24+4x^26+1x^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 1.64 seconds.