The generator matrix 1 0 0 0 1 1 1 4 1 1 1 1 0 4 2 6 1 1 4 1 1 1 1 0 1 1 1 0 1 0 0 0 1 5 1 3 3 4 0 4 1 1 2 0 2 1 5 7 1 6 2 1 6 3 0 0 1 0 1 1 4 5 5 2 6 1 1 1 4 0 4 7 0 3 3 6 2 1 4 6 0 0 0 0 1 1 4 1 1 5 6 5 4 1 6 7 1 2 6 6 4 3 2 7 3 5 5 2 0 0 0 0 2 0 0 0 0 4 4 4 6 4 4 6 6 2 6 2 6 6 0 0 6 2 4 generates a code of length 27 over Z8 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+174x^21+503x^22+950x^23+1112x^24+2144x^25+1885x^26+2680x^27+2074x^28+2210x^29+1221x^30+854x^31+299x^32+172x^33+67x^34+28x^35+2x^36+4x^37+4x^38 The gray image is a code over GF(2) with n=108, k=14 and d=42. This code was found by Heurico 1.16 in 3.21 seconds.