The generator matrix

 1  0  1  1  1  2 10  1 14  1  1  8  1  2  1  1
 0  1  1  0  3  1  1  8  1  2  9  1  2  2  8  0
 0  0  2  0  6  4  2  6  6  6  4  6  2 12  4  0
 0  0  0  2  6  6  4  2  2  4  2 10  0 14  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  0
 0  0  0  0  0  8  8  0  8  0  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+88x^10+160x^11+980x^12+2076x^13+5664x^14+13380x^15+20820x^16+13384x^17+5712x^18+2072x^19+943x^20+156x^21+88x^22+4x^23+7x^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 4.55 seconds.