The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+90x^21+223x^22+468x^23+697x^24+920x^25+1146x^26+1158x^27+1152x^28+924x^29+619x^30+424x^31+224x^32+96x^33+28x^34+14x^35+6x^36+2x^37

The gray image is a code over GF(2) with n=108, k=13 and d=42.
This code was found by Heurico 1.16 in 0.737 seconds.