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 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 9 9 3 0 9 0 0 0 0 9 18 18 0 0 9 9 9 9 9 9 9 0 18 0 18 0 18 0 9 18 9 18 18 0 0 18 9 0 9 9 9 9 0 0 0 9 0 9 0 9 9 9 9 9 18 18 9 9 0 0 18 18 18 18 9 18 9 9 18 0 0 9 0 0 9 18 0 18 0 9 9 18 18 0 9 0 9 9 9 9 0 0 18 18 9 9 18 0 18 0 9 9 0 18 18 0 9 0 18 18 18 9 18 18 0 18 18 9 9 0 9 18 0 0 0 0 9 0 18 0 9 9 9 0 9 0 0 0 9 0 18 18 9 0 9 9 0 0 9 18 9 9 18 18 0 0 18 18 18 18 18 9 9 0 9 18 9 18 18 9 18 9 0 0 0 9 0 9 18 0 0 18 9 0 18 18 0 18 9 0 0 9 0 0 18 0 9 18 0 18 18 0 0 0 0 9 18 18 18 18 18 0 18 0 0 18 18 0 9 0 0 18 18 9 18 9 18 0 18 0 0 18 18 9 0 0 0 18 0 9 9 18 18 9 0 9 9 18 9 9 18 0 9 9 9 9 18 9 0 0 18 18 18 0 9 0 18 generates a code of length 66 over Z27 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+86x^126+174x^127+162x^128+36x^129+126x^130+648x^131+48x^132+648x^134+34x^135+120x^136+14x^138+36x^139+4x^141+30x^145+10x^153+4x^162+4x^165+2x^168 The gray image is a code over GF(3) with n=594, k=7 and d=378. This code was found by Heurico 1.16 in 0.498 seconds.