The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  2  1  1  1  0  1  4  2  2  1  1
 0  2  0  0  0  2  6  2  4  0  4  0  2  4  0  2  6  2  2  0  4  0  2  4  0  6  2
 0  0  2  0  2  2  2  4  6  0  0  2  2  2  6  6  2  0  2  6  2  4  6  6  2  4  2
 0  0  0  2  2  4  6  2  0  0  2  2  0  4  4  0  2  4  2  2  6  6  0  2  6  6  0
 0  0  0  0  4  4  4  0  4  4  4  0  0  0  4  0  0  0  0  4  0  4  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+57x^22+8x^23+156x^24+80x^25+189x^26+80x^27+175x^28+80x^29+115x^30+8x^31+46x^32+23x^34+5x^36+1x^40

The gray image is a code over GF(2) with n=108, k=10 and d=44.
This code was found by Heurico 1.16 in 0.0255 seconds.