The generator matrix
1 1 1 1 1 1 1 2 1 2 1 4 2
0 12 0 0 0 0 0 12 12 8 12 0 8
0 0 12 0 0 0 4 4 4 4 0 8 12
0 0 0 12 0 4 4 0 0 4 4 4 8
0 0 0 0 12 4 0 4 12 12 12 8 4
0 0 0 0 0 8 0 8 8 0 0 8 0
0 0 0 0 0 0 8 8 0 0 8 8 8
generates a code of length 13 over Z16 who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+34x^7+154x^8+224x^9+364x^10+982x^11+3540x^12+5700x^13+3640x^14+1006x^15+373x^16+216x^17+92x^18+26x^19+28x^20+4x^21
The gray image is a code over GF(2) with n=104, k=14 and d=28.
This code was found by Heurico 1.16 in 0.258 seconds.