The generator matrix
1 1 1 1 1 1 1 1 1 2 2 1 2
0 12 0 0 0 4 12 12 8 8 8 4 4
0 0 12 0 4 4 4 0 8 0 12 12 4
0 0 0 12 4 8 4 4 0 4 12 8 0
0 0 0 0 8 8 0 8 8 0 8 0 8
generates a code of length 13 over Z16 who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+40x^9+66x^10+100x^11+201x^12+1248x^13+177x^14+120x^15+53x^16+24x^17+12x^18+4x^19+1x^20+1x^22
The gray image is a code over GF(2) with n=104, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0113 seconds.