The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+161x^10+32x^11+388x^12+256x^13+1996x^14+2496x^15+2037x^16+256x^17+390x^18+32x^19+132x^20+12x^22+2x^24+1x^26

The gray image is a code over GF(2) with n=120, k=13 and d=40.
This code was found by Heurico 1.16 in 84.7 seconds.