The generator matrix 1 0 1 1 1 6 1 1 4 1 2 1 1 4 1 0 1 1 1 1 6 1 2 1 1 1 1 0 1 1 6 3 1 0 3 1 5 1 2 4 1 3 1 0 7 6 7 1 1 1 7 4 7 3 0 0 2 0 6 0 6 0 2 4 2 2 2 6 0 0 4 2 4 6 0 6 6 6 6 6 2 0 0 0 4 0 0 0 0 0 4 4 4 4 4 0 4 0 4 4 0 0 0 0 0 4 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 0 0 0 0 4 0 4 0 0 4 4 0 0 0 0 0 0 4 0 4 0 4 0 0 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 0 0 4 4 0 0 4 0 0 generates a code of length 27 over Z8 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+68x^21+111x^22+128x^23+325x^24+512x^25+596x^26+640x^27+596x^28+504x^29+306x^30+128x^31+97x^32+64x^33+4x^34+4x^36+4x^37+7x^38+1x^40 The gray image is a code over GF(2) with n=108, k=12 and d=42. This code was found by Heurico 1.16 in 65.9 seconds.