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
 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  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

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

Homogenous weight enumerator: w(x)=1x^0+46x^26+32x^27+44x^28+2x^30+1x^32+2x^36

The gray image is a code over GF(2) with n=108, k=7 and d=52.
This code was found by Heurico 1.16 in 0.00484 seconds.