The generator matrix

 1  0  1  1  1 14  1  1 14  0  1  1  1  6  1  1  1
 0  1 11  6  5  1  9  0  1  1 11 14 13  1  6 15 13
 0  0 12  0  0  8  8  4 12 12  8  4  0  4  8 12  4
 0  0  0 12  8 12  0  4  8 12 12  8  4  4  8  4  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+164x^14+384x^15+937x^16+1152x^17+922x^18+384x^19+128x^20+16x^22+6x^24+2x^26

The gray image is a code over GF(2) with n=136, k=12 and d=56.
This code was found by Heurico 1.16 in 73.6 seconds.