The generator matrix

 1  0  1  1  1 10  4  1  1  0  1  1  2  1  1  2  1
 0  1  1  0  3  1  1 11  0  1 15  1 14  3  4  4  0
 0  0  2  0  6 10  0  8  6 14 12 12 10  2  4 10  8
 0  0  0  2  6 12  2 12  6  6  2  0  4  2 14  8  8
 0  0  0  0  8  0  8  8  0  8  0  0  8  0  0  8  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+96x^12+418x^13+1162x^14+3200x^15+6340x^16+10164x^17+6617x^18+3248x^19+1014x^20+346x^21+124x^22+32x^23+5x^24+1x^26

The gray image is a code over GF(2) with n=136, k=15 and d=48.
This code was found by Heurico 1.16 in 1.78 seconds.