The generator matrix 1 0 0 0 1 1 1 4 0 0 1 1 1 1 6 1 1 2 1 1 0 1 1 2 1 4 1 0 1 0 0 2 1 7 1 1 2 4 6 3 3 1 2 0 1 6 5 6 0 7 1 1 1 3 0 0 1 0 0 0 4 3 5 1 3 1 1 7 2 1 2 5 4 6 0 7 6 2 7 7 5 0 0 0 1 1 3 6 6 5 3 1 2 2 5 3 0 1 6 2 0 1 3 2 1 4 7 1 0 0 0 0 4 0 4 4 0 4 0 4 0 4 4 4 4 4 0 4 4 4 0 4 0 0 4 0 0 0 0 0 4 4 4 4 0 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 generates a code of length 27 over Z8 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+144x^21+577x^22+750x^23+1521x^24+1622x^25+2543x^26+2106x^27+2469x^28+1670x^29+1559x^30+754x^31+485x^32+114x^33+57x^34+6x^35+3x^36+2x^37+1x^48 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 2.64 seconds.