The generator matrix

 1  1  1  1  1  1  1  1  2  2  4  4  2  2  2  1
 0  2  0  0  0 10 14  2  4 12  2  2  8  6 14  0
 0  0  2  0  2 10 10  4  0  6  2  4  2  6  4  0
 0  0  0  2  2 12 14  6  2  6  0  6  0  6  0  8
 0  0  0  0  8  0  0  0  8  8  8  8  0  0  0  8
 0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+84x^10+324x^11+904x^12+3256x^13+6057x^14+14844x^15+14577x^16+14864x^17+6068x^18+3260x^19+896x^20+312x^21+78x^22+4x^23+6x^24+1x^30

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 5.8 seconds.