The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^14+332x^15+349x^16+640x^17+336x^18+296x^19+32x^20+8x^22+12x^23+2x^24

The gray image is a code over GF(2) with n=136, k=11 and d=56.
This code was found by Heurico 1.16 in 0.0133 seconds.