The generator matrix

 1  1  1  1  1  1  1  1  2  1  2  2  1  2  2
 0 12  0  4  0  0  4 12  8 12  4 12  4  0  0
 0  0 12  4  0 12  4  8  4  0  4  0 12 12  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  8  0  8  8  8  0  0  8
 0  0  0  0  0  8  0  0  8  8  0  0  8  8  8
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  8

generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+76x^10+252x^12+64x^13+436x^14+2432x^15+453x^16+64x^17+244x^18+60x^20+12x^22+2x^24

The gray image is a code over GF(2) with n=120, k=12 and d=40.
This code was found by Heurico 1.16 in 27.6 seconds.