The generator matrix

 1  0  0  1  1  1  2  0  1  1  8  1  1  1  1
 0  1  0  1  2  3  1  1  8  0  1  7  3 11  4
 0  0  1  1  1  4  7  2  6  9 11 10  5  4  0
 0  0  0  2  8 10  6 10 10  6  4  4  0 14  2

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

Homogenous weight enumerator: w(x)=1x^0+158x^11+995x^12+2998x^13+7040x^14+10244x^15+7341x^16+2916x^17+852x^18+190x^19+23x^20+6x^21+4x^22

The gray image is a code over GF(2) with n=120, k=15 and d=44.
This code was found by Heurico 1.16 in 1.72 seconds.