The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 21 1 1 1 1 0 1 1 24 1 1 1 9 1 1 1 24 1 1 1 1 1 6 1 12 6 1 1 1 1 1 1 24 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 20 0 16 1 21 4 24 26 1 19 23 1 9 16 11 1 10 8 24 1 12 4 23 6 13 1 5 1 1 24 4 13 23 6 5 1 0 21 6 0 9 18 9 21 12 16 7 19 6 1 16 19 9 9 0 0 9 0 18 9 18 0 9 18 0 9 9 18 0 18 9 18 0 9 9 0 18 18 9 18 0 18 9 18 0 18 0 0 9 18 18 9 9 9 0 9 0 9 0 18 18 0 0 18 0 18 18 9 9 9 0 18 0 18 9 18 9 9 18 9 0 0 0 9 9 18 18 9 9 0 0 18 9 18 18 0 0 9 18 18 9 9 0 18 9 9 0 18 18 0 0 0 18 18 9 9 0 9 18 18 9 0 9 0 9 18 18 0 18 18 9 9 0 18 0 9 0 0 0 9 18 18 18 0 18 0 generates a code of length 66 over Z27 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+372x^126+180x^127+180x^128+1512x^129+54x^130+144x^131+1872x^132+90x^133+1452x^135+90x^136+144x^137+360x^138+54x^139+18x^140+18x^142+14x^144+4x^162+2x^180 The gray image is a code over GF(3) with n=594, k=8 and d=378. This code was found by Heurico 1.16 in 0.22 seconds.