The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^11+415x^12+982x^13+2316x^14+5762x^15+12638x^16+21088x^17+12618x^18+5900x^19+2337x^20+902x^21+360x^22+90x^23+33x^24+4x^25+2x^26

The gray image is a code over GF(2) with n=136, k=16 and d=44.
This code was found by Heurico 1.16 in 8.05 seconds.