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 3 3 3 0 1 1 1 3 3 0 3 24 0 21 24 9 21 6 9 12 6 9 0 12 3 24 6 18 18 21 12 15 15 18 3 15 21 24 21 3 0 0 9 12 9 0 0 9 9 18 18 18 9 0 9 0 9 0 18 9 18 0 18 0 9 0 18 9 18 18 9 0 18 0 9 0 0 9 18 9 0 generates a code of length 36 over Z27 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+68x^69+180x^70+108x^72+288x^73+48x^75+18x^76+16x^78+2x^90 The gray image is a code over GF(3) with n=324, k=6 and d=207. This code was found by Heurico 1.16 in 0.0145 seconds.