The generator matrix
1 1 1 1 1 1 1 1 2 1 2 2 1 4 1 1 1
0 2 0 2 0 10 12 6 2 4 6 4 6 4 8 6 0
0 0 2 2 12 14 6 0 2 4 0 2 6 2 2 14 0
0 0 0 8 0 0 0 0 8 8 0 8 8 0 0 8 0
0 0 0 0 8 0 8 8 8 0 8 8 0 0 0 0 0
0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 8 8
generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+46x^12+148x^13+242x^14+858x^15+1367x^16+2842x^17+1390x^18+892x^19+242x^20+112x^21+30x^22+10x^23+8x^24+2x^25+2x^26
The gray image is a code over GF(2) with n=136, k=13 and d=48.
This code was found by Heurico 1.16 in 0.155 seconds.