The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+6x^26+48x^27+6x^28+1x^32+2x^38

The gray image is a code over GF(2) with n=108, k=6 and d=52.
This code was found by Heurico 1.16 in 0.00211 seconds.