The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  2  2  1  2  2
 0 12  0  0  0  4 12  4  8  0  0 12  4  0 12  8
 0  0 12  0  4  4 12  0  0  4  0  4  0 12  8  0
 0  0  0 12  4  0 12  4  4  4  8  4  4  8  0  4
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  8  0  8  8  8  8  0  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+26x^9+84x^10+132x^11+300x^12+600x^13+796x^14+1292x^15+9909x^16+1284x^17+844x^18+604x^19+268x^20+136x^21+68x^22+20x^23+18x^24+2x^25

The gray image is a code over GF(2) with n=128, k=14 and d=36.
This code was found by Heurico 1.16 in 0.463 seconds.