The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^10+36x^11+654x^12+788x^13+3536x^14+6344x^15+9691x^16+6344x^17+3604x^18+788x^19+634x^20+36x^21+120x^22+28x^24

The gray image is a code over GF(2) with n=128, k=15 and d=40.
This code was found by Heurico 1.16 in 5.33 seconds.