The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  4  8  1
 0  1 11  6  5  1  0 11  1 14  1  3  8  2  3
 0  0 12  0  0  4  4  8  4 12 12 12  0  4  0
 0  0  0 12  0  4  4  4  0  8  8 12  4  0  8
 0  0  0  0  8  0  8  8  0  0  8  8  0  0  8
 0  0  0  0  0  8  0  0  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^10+168x^11+554x^12+1792x^13+3239x^14+4784x^15+3239x^16+1792x^17+554x^18+168x^19+46x^20+1x^30

The gray image is a code over GF(2) with n=120, k=14 and d=40.
This code was found by Heurico 1.16 in 0.439 seconds.