The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^26+96x^27+40x^28+27x^30+32x^31+7x^32+4x^34+1x^46

The gray image is a code over GF(2) with n=112, k=8 and d=52.
This code was found by Heurico 1.16 in 0.0104 seconds.