The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+223x^12+112x^13+704x^14+1216x^15+3673x^16+4512x^17+3680x^18+1216x^19+750x^20+112x^21+160x^22+22x^24+3x^28

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 26.3 seconds.