The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  1  0  1  2  2
 0  1 11  6  1  1  3  8  1  3  8  1  6  1  5 14  0
 0  0 12  0  0  0  0  4  4 12  8  8  8  4 12  8  8
 0  0  0 12  0  4  4  4 12  4 12  0 12  4  8 12  8
 0  0  0  0  4  8 12  4  4  8  8  8  4  8  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+91x^12+124x^13+532x^14+1616x^15+3610x^16+4392x^17+3738x^18+1488x^19+629x^20+60x^21+80x^22+21x^24+2x^26

The gray image is a code over GF(2) with n=136, k=14 and d=48.
This code was found by Heurico 1.16 in 0.512 seconds.