The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+192x^10+216x^11+1118x^12+2132x^13+6926x^14+12932x^15+18324x^16+13192x^17+6964x^18+2016x^19+1113x^20+228x^21+158x^22+4x^23+19x^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 8.38 seconds.