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 3 3 1 3 0 3 0 9 24 21 3 15 24 9 9 15 18 12 9 24 0 21 12 15 21 6 12 0 12 21 15 24 24 3 18 9 21 0 15 0 0 3 15 9 6 3 21 15 0 6 18 21 24 18 24 21 12 9 0 3 24 18 24 15 0 15 21 12 12 24 3 9 9 3 generates a code of length 35 over Z27 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+138x^66+234x^67+162x^68+284x^69+612x^70+324x^71+260x^72+36x^73+12x^75+72x^76+26x^78+18x^79+6x^81+2x^96 The gray image is a code over GF(3) with n=315, k=7 and d=198. This code was found by Heurico 1.16 in 0.0649 seconds.