The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^11+204x^12+588x^13+1428x^14+3764x^15+6037x^16+8556x^17+6076x^18+3788x^19+1420x^20+580x^21+172x^22+60x^23+18x^24+4x^25+4x^26

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 1.99 seconds.