The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  8  1 10  1  1  0
 0  1  0  1  6  7  1 11  6 10 12  1  2  1  2 12  1
 0  0  1  1  3  2  3  0  1  2  3  7  5  7  1  6  0
 0  0  0 12  0  0  8  4  4  4  8  8  4 12  0  0  0
 0  0  0  0  8  0  8  8  0  0  0  8  8  0  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+150x^12+520x^13+2125x^14+5968x^15+14308x^16+19280x^17+14495x^18+5984x^19+2041x^20+488x^21+147x^22+16x^23+11x^24+1x^26+1x^28

The gray image is a code over GF(2) with n=136, k=16 and d=48.
This code was found by Heurico 1.16 in 5.19 seconds.