The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^9+85x^10+182x^11+452x^12+1162x^13+3552x^14+5430x^15+3573x^16+1214x^17+450x^18+146x^19+68x^20+30x^21+8x^22+2x^23+2x^24+1x^26

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 0.4 seconds.