The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^22+172x^23+517x^24+364x^25+640x^26+504x^27+681x^28+312x^29+448x^30+156x^31+110x^32+28x^33+32x^34+3x^36+2x^38

The gray image is a code over GF(2) with n=108, k=12 and d=44.
This code was found by Heurico 1.16 in 0.197 seconds.