The generator matrix 1 0 0 0 0 1 1 1 1 4 1 1 1 2 1 1 4 0 1 1 2 4 1 1 1 1 1 0 1 0 0 0 1 2 5 0 1 3 7 1 1 2 6 1 2 5 7 4 4 2 0 7 2 0 0 0 1 0 0 1 4 0 5 7 0 7 3 6 5 2 2 1 3 4 1 1 2 0 2 3 0 0 0 0 1 0 1 5 2 6 7 3 2 6 5 7 0 7 5 5 5 7 2 6 4 6 2 0 0 0 0 0 1 4 1 7 1 7 6 5 0 5 5 5 6 3 5 7 4 7 4 3 6 6 2 generates a code of length 27 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+77x^20+394x^21+864x^22+1884x^23+2349x^24+3750x^25+4338x^26+5176x^27+4413x^28+4214x^29+2512x^30+1564x^31+674x^32+346x^33+122x^34+80x^35+6x^36+4x^38 The gray image is a code over GF(2) with n=108, k=15 and d=40. This code was found by Heurico 1.11 in 4.47 seconds.