The generator matrix

 1  0  1  1  1 12  1  1 10  1 10  1  2  1  1
 0  1  1  0 11  1  2 13  1 15  1 10 10  8  4
 0  0  2  6  0  2  2  4  6 10  4  6  2  6  2
 0  0  0 12 12 12  8  0  0  4  4  8  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+56x^11+246x^12+788x^13+1688x^14+2656x^15+1655x^16+808x^17+232x^18+40x^19+18x^20+4x^21

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 0.13 seconds.