The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+118x^23+253x^24+278x^25+307x^26+276x^27+240x^28+218x^29+146x^30+114x^31+64x^32+14x^33+11x^34+4x^35+2x^36+2x^37

The gray image is a code over GF(2) with n=108, k=11 and d=46.
This code was found by Heurico 1.16 in 0.0524 seconds.