The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^23+277x^24+262x^25+273x^26+286x^27+234x^28+234x^29+158x^30+104x^31+76x^32+14x^33+1x^34+2x^35+4x^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 1.11 in 0.0295 seconds.