The generator matrix

 1  1  1  1  2  1  1  0  2  1  1  2  1  1  2  1
 0  2 12  6  6  0  6  2  2 12  6  6  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  0
 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  8  0  0  8  8  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  0  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  0
 0  0  0  0  0  0  0  0  0  8  8  8  0  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+85x^8+140x^10+64x^11+552x^12+1088x^13+1792x^14+9088x^15+7099x^16+9088x^17+1912x^18+1088x^19+440x^20+64x^21+224x^22+15x^24+28x^26

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 0.601 seconds.