The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^10+64x^11+300x^12+704x^13+1664x^14+2560x^15+1701x^16+704x^17+296x^18+64x^19+44x^20+16x^22+2x^24

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 0.757 seconds.