The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^22+136x^23+123x^24+348x^25+209x^26+376x^27+210x^28+258x^29+108x^30+136x^31+46x^32+16x^33+9x^34+8x^35+4x^36+2x^37+2x^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 0.0609 seconds.