The generator matrix

 1  0  1  1  1  4  1 14  1  1 10  1 14  1  8  1  1
 0  1  1  0 11  1 10  1 11  5  1  7  1  9  1  0  0
 0  0  2  6  4  6  6  0  0  8  6 14  6 14 12  0  0
 0  0  0 12  0  4  8 12 12  8  0 12 12  0  0  8  0
 0  0  0  0  8  0  8  8  0  0  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+67x^12+202x^13+627x^14+1246x^15+3542x^16+5028x^17+3523x^18+1276x^19+613x^20+178x^21+57x^22+6x^23+17x^24+1x^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 0.47 seconds.