The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+10x^9+38x^10+100x^11+476x^12+1142x^13+3326x^14+6200x^15+3333x^16+1142x^17+466x^18+100x^19+28x^20+10x^21+10x^22+2x^24

The gray image is a code over GF(2) with n=120, k=14 and d=36.
This code was found by Heurico 1.16 in 2.51 seconds.