The generator matrix

 1  0  0  1  1  1 14  1  1  1  1  8 12  1  1  1  1
 0  1  0  1  6 15  1  1  8 13  2  2  1  1 12  2 10
 0  0  1  1 11  2  3  1  6  6  1  1  3  7  3  5  1
 0  0  0 12  0  0  0  0  8  4 12  4  8  4  8  4  0
 0  0  0  0 12  4  4  8 12  0  4 12  8  4  8  8  4

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

Homogenous weight enumerator: w(x)=1x^0+140x^12+508x^13+2204x^14+5900x^15+14439x^16+18920x^17+14808x^18+5928x^19+2042x^20+476x^21+140x^22+12x^23+16x^24+2x^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 5.68 seconds.