The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 24 0 21 24 21 6 0 9 21 24 0 12 15 9 21 6 9 3 9 6 3 6 18 3 24 0 0 9 9 21 21 3 12 24 6 6 24 9 12 24 15 18 3 18 15 9 21 12 24 0 21 6 18 3 15 0 12 15 18 3 15 24 6 0 9 18 15 6 21 12 3 15 18 18 12 12 18 12 15 0 21 24 0 0 0 9 0 18 0 9 18 9 18 18 0 9 18 18 0 0 18 18 9 9 9 9 0 18 0 9 0 9 18 9 18 9 18 0 18 0 9 18 0 18 18 0 18 9 0 0 9 9 0 9 18 0 9 9 18 18 18 9 18 0 0 0 0 18 18 0 9 9 0 0 9 18 9 0 9 9 18 18 0 9 0 18 0 0 0 0 0 9 9 9 18 18 18 9 18 18 0 0 9 18 9 0 18 9 9 18 0 0 0 18 9 18 9 0 0 0 0 9 9 0 9 9 18 0 18 9 18 18 18 9 0 18 9 0 18 9 18 0 9 0 0 18 18 18 0 9 9 0 9 0 9 18 9 18 0 9 18 18 18 0 0 9 9 18 0 0 18 0 9 generates a code of length 85 over Z27 who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+8x^165+18x^166+132x^168+72x^169+1620x^170+248x^171+72x^172+14x^174+2x^255 The gray image is a code over GF(3) with n=765, k=7 and d=495. This code was found by Heurico 1.16 in 0.369 seconds.