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 3 0 1 1 1 3 0 3 0 9 24 21 3 15 24 9 9 15 18 12 9 15 6 0 6 12 6 21 0 15 12 6 12 12 15 21 21 21 0 24 3 18 24 18 24 0 0 3 15 9 6 3 21 15 0 6 18 21 24 9 24 9 12 24 12 12 9 6 3 0 21 6 3 15 12 15 21 15 6 15 24 3 9 18 generates a code of length 39 over Z27 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+240x^74+90x^75+162x^76+336x^77+558x^78+324x^79+306x^80+60x^81+30x^83+18x^84+42x^86+18x^89+2x^108 The gray image is a code over GF(3) with n=351, k=7 and d=222. This code was found by Heurico 1.16 in 0.359 seconds.