The generator matrix

 1  0  0  1  1  1  6  1  1  4  1  1  2  6  2  1
 0  1  0  1  6  7  1  0  1  1  6  7  1  0  4  0
 0  0  1  1  3  2  3  6  7  7  5  4  2  1  2  0
 0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^10+112x^11+607x^12+2768x^13+7126x^14+9920x^15+24387x^16+9920x^17+7114x^18+2768x^19+600x^20+112x^21+50x^22+4x^24+1x^28

The gray image is a code over GF(2) with n=128, k=16 and d=40.
This code was found by Heurico 1.16 in 3.1 seconds.