The generator matrix
1 0 1 1 1 6 1 1 4 1 1 2 1 1 1 1 0 6 1 1 1 1 4 2 2 2 0 2 1
0 1 3 6 5 1 4 7 1 2 1 1 0 3 6 5 1 1 4 2 7 1 1 1 0 6 2 4 0
generates a code of length 29 over Z8 who´s minimum homogenous weight is 28.
Homogenous weight enumerator: w(x)=1x^0+22x^28+8x^29+22x^30+8x^31+1x^32+2x^34
The gray image is a code over GF(2) with n=116, k=6 and d=56.
This code was found by Heurico 1.16 in 0.0037 seconds.