The generator matrix

 1  0  1  1  1  6  1  1  6  1  1  0  1  1  1  1  1  1  1  1  4  2  4  2  1  1  2  1
 0  1  3  6  5  1  0  3  1  6  5  1  4  2  7  1  4  2  7  1  1  1  1  1  0  6  6  0
 0  0  4  4  0  4  4  0  0  0  4  4  4  0  4  0  0  4  0  4  4  0  0  4  0  4  0  0

generates a code of length 28 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+12x^26+32x^27+36x^28+32x^29+10x^30+3x^32+2x^38

The gray image is a code over GF(2) with n=112, k=7 and d=52.
This code was found by Heurico 1.16 in 0.00376 seconds.