The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+252x^26+56x^28+168x^30+7x^32+28x^34

The gray image is a code over GF(2) with n=112, k=9 and d=52.
This code was found by Heurico 1.11 in 148 seconds.