The generator matrix

 1  0  1  1  1 12  1  1 10  1  6  1  2  0  1  1  1
 0  1  1 12 11  1  2  7  1 10  1  5  2  0  6 12  0
 0  0  2  6  4  6  2  2  6  6  0  0  2  2  0 14  8
 0  0  0  8  0  0  8  0  0  8  0  0  8  0  8  8  8
 0  0  0  0  8  0  8  8  8  8  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  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+41x^12+208x^13+494x^14+2008x^15+2282x^16+6320x^17+2281x^18+2016x^19+491x^20+192x^21+37x^22+8x^23+1x^24+3x^26+1x^30

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 0.452 seconds.