The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+186x^23+112x^24+364x^25+188x^26+486x^27+104x^28+312x^29+56x^30+150x^31+39x^32+28x^33+12x^34+10x^35

The gray image is a code over GF(2) with n=108, k=11 and d=46.
This code was found by Heurico 1.16 in 3.01 seconds.