The generator matrix

 1  0  1  1  1 12  1  1  6  2  1  1 14  2  4  2  1
 0  1  1 12 11  1  2  7  1  0  8  9  1  2  2  8  0
 0  0  2  6  4  6  2 14  0  6  2  6  4  2  2  4  0
 0  0  0  8  0  0  0  0  8  0  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+26x^10+80x^11+187x^12+932x^13+2188x^14+6824x^15+15005x^16+15036x^17+15008x^18+6848x^19+2194x^20+924x^21+180x^22+72x^23+18x^24+4x^25+6x^26+3x^28

The gray image is a code over GF(2) with n=136, k=16 and d=40.
This code was found by Heurico 1.16 in 3.4 seconds.