The generator matrix

 1  1  1  1  1  1  1  1  2  0  8  4  1  2  1
 0  2  0  0  8 10  6  6  8  2  4  2  4 12  8
 0  0  2  0 10 10 10  8  2  4  2  0  4 10  0
 0  0  0  2  2  8 10  2  6  4  0  2 12  6  4

generates a code of length 15 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+106x^11+379x^12+708x^13+1941x^14+1972x^15+1905x^16+680x^17+362x^18+114x^19+19x^20+4x^21+1x^22

The gray image is a code over GF(2) with n=120, k=13 and d=44.
This code was found by Heurico 1.16 in 0.206 seconds.