The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^22+70x^23+272x^24+118x^25+458x^26+156x^27+446x^28+100x^29+242x^30+54x^31+43x^32+6x^33+10x^34+8x^35+6x^36+5x^38

The gray image is a code over GF(2) with n=108, k=11 and d=44.
This code was found by Heurico 1.16 in 0.0753 seconds.