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 3 1 1 1 1 1 1 1 1 0 3 24 0 21 24 6 9 21 21 0 24 18 6 21 0 24 12 9 24 9 9 6 6 6 0 0 24 15 12 21 0 9 24 9 12 15 6 0 0 0 9 0 0 0 18 0 18 18 9 18 18 18 18 0 18 0 0 18 0 9 0 9 18 18 18 9 9 9 0 9 9 18 0 18 0 0 0 0 0 0 9 0 9 18 18 18 18 18 0 9 9 9 0 18 9 0 18 18 0 18 9 9 9 18 18 0 18 18 9 9 0 9 18 9 18 0 0 0 0 0 18 18 9 0 18 9 18 18 9 0 9 9 18 0 18 0 9 9 18 0 18 18 18 0 18 0 9 18 0 0 18 0 9 0 0 generates a code of length 39 over Z27 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+84x^69+54x^71+226x^72+78x^74+274x^75+648x^76+120x^77+3102x^78+1296x^79+144x^80+160x^81+66x^83+110x^84+24x^86+104x^87+54x^90+12x^93+2x^96+2x^114 The gray image is a code over GF(3) with n=351, k=8 and d=207. This code was found by Heurico 1.16 in 0.158 seconds.