The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+111x^10+168x^11+623x^12+1168x^13+2843x^14+6840x^15+9221x^16+6880x^17+2863x^18+1176x^19+612x^20+144x^21+101x^22+8x^23+6x^24+2x^26+1x^28

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 1.89 seconds.