The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^10+392x^11+860x^12+2492x^13+5954x^14+13980x^15+17961x^16+14040x^17+6060x^18+2560x^19+756x^20+300x^21+86x^22+28x^23+6x^24+1x^26

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 6.81 seconds.