The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+294x^22+460x^23+790x^24+876x^25+1112x^26+1180x^27+1075x^28+904x^29+813x^30+372x^31+211x^32+44x^33+50x^34+4x^35+3x^36+3x^38

The gray image is a code over GF(2) with n=108, k=13 and d=44.
This code was found by Heurico 1.16 in 3.49 seconds.