The generator matrix

 1  1  1  1  1  1  2  1  8  1  1  1  2  1  1  1
 0  2  0 14  4  6  6 12  2 14  0  2  6  0  0  0
 0  0 12  4  4  0  0  8  4 12  0  4  0  8  0  0
 0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  8
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  0

generates a code of length 16 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+36x^10+14x^11+118x^12+184x^13+795x^14+1078x^15+3734x^16+1088x^17+799x^18+186x^19+109x^20+8x^21+33x^22+2x^23+5x^24+1x^26+1x^28

The gray image is a code over GF(2) with n=128, k=13 and d=40.
This code was found by Heurico 1.16 in 0.111 seconds.