The generator matrix

 1  0  1  1  1 12  1  2  1  6  1 12  1  1  1
 0  1  1 12 11  1  2  1 13  1  6  1 13  5  2
 0  0  2  6  4  6  2 10  4  0  0  8 10  8 10
 0  0  0  8  0  0  8  0  0  8  8  0  8  8  0
 0  0  0  0  8  0  8  8  0  8  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+54x^11+182x^12+706x^13+2060x^14+2212x^15+2051x^16+676x^17+180x^18+54x^19+6x^20+10x^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 0.12 seconds.