The generator matrix

 1  1  1  1  1  1  1  1  1  2  2 12  1  8  2  2  1
 0  2  0  0  0  6  2  2  4 12  2  4  6  2 14 12  0
 0  0  2  0  2  6  6  4  6  4 14  2  8  0  0 10  0
 0  0  0  2  2  0  2  6  4 14 12 12 10  4  4  8  0
 0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+70x^12+296x^13+748x^14+1850x^15+2730x^16+4872x^17+2870x^18+1980x^19+648x^20+192x^21+93x^22+26x^23+7x^24+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 0.737 seconds.