The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+56x^11+215x^12+480x^13+1298x^14+3350x^15+6672x^16+8590x^17+6700x^18+3396x^19+1287x^20+460x^21+194x^22+46x^23+15x^24+6x^25+2x^28

The gray image is a code over GF(2) with n=136, k=15 and d=44.
This code was found by Heurico 1.16 in 2.31 seconds.