The generator matrix

 1  1  1  1  1  1  1  1  2  4  0  4  2  0  1
 0  2  0  2  8  0  2 10 10  2  4  4 14  4  0
 0  0  2  2  0 14  2  4  6 14  2  2  2  2  0
 0  0  0  4  4  4  8 12  0 12  4  0  8 12  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^11+255x^12+336x^13+965x^14+872x^15+957x^16+336x^17+246x^18+54x^19+3x^20+5x^22+4x^23

The gray image is a code over GF(2) with n=120, k=12 and d=44.
This code was found by Heurico 1.16 in 0.0482 seconds.