The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+295x^22+464x^23+788x^24+868x^25+1081x^26+1236x^27+1113x^28+808x^29+823x^30+408x^31+205x^32+52x^33+40x^34+4x^35+5x^36+1x^42

The gray image is a code over GF(2) with n=108, k=13 and d=44.
This code was found by Heurico 1.11 in 0.785 seconds.