The generator matrix 1 0 0 1 1 1 6 1 2 1 1 2 4 1 1 1 1 1 0 0 6 0 1 2 1 1 1 0 1 0 0 1 3 1 1 1 6 4 1 2 0 7 6 5 7 1 1 1 1 0 6 3 7 5 0 0 1 1 3 0 1 1 2 5 2 3 1 4 2 7 1 7 3 4 7 2 3 1 5 6 6 0 0 0 2 2 6 6 0 4 2 0 6 4 2 4 0 6 0 4 6 4 4 0 6 0 6 6 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 0 4 4 4 0 4 4 0 0 4 4 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 0 0 4 0 0 0 0 generates a code of length 27 over Z8 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+64x^21+245x^22+494x^23+660x^24+838x^25+1169x^26+1230x^27+1112x^28+1014x^29+690x^30+378x^31+171x^32+66x^33+38x^34+10x^35+8x^36+2x^37+1x^38+1x^42 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 0.689 seconds.