The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^10+104x^11+184x^12+680x^13+1116x^14+3824x^15+4494x^16+3824x^17+1116x^18+680x^19+184x^20+104x^21+36x^22+1x^32

The gray image is a code over GF(2) with n=128, k=14 and d=40.
This code was found by Heurico 1.16 in 0.497 seconds.