The generator matrix

 1  0  1  1  1 14  1  1  6  1  1 12 10  8  6  2 14
 0  1 11 14  5  1  0  3  1  6 13  1  1  1  1  8  1
 0  0 12  4  0  4 12  0  8  0  4  0  0  4  8  4  4
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  8
 0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+115x^12+32x^13+556x^14+1408x^15+3979x^16+4288x^17+3848x^18+1408x^19+620x^20+32x^21+76x^22+20x^24+1x^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 0.516 seconds.