The generator matrix

 1  0  0  1  1  1  2  6  1  1  2  1  1  1  6  4  1  1  1  0  1  1  2  1  0  4  6  1
 0  1  0  4  5  1  1  1  0  1  1  6  3  2  0  1  4  7  3  1  5  6  1  6  2  1  6  3
 0  0  1  7  3  4  3  2  2  6  5  7  3  1  1  5  5  4  5  2  5  0  0  6  1  7  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 1.16 in 1.83 seconds.