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 0 1 1 1 1 3 1 1 1 1 1 1 1 1 0 3 1 3 3 1 3 1 0 3 0 0 0 24 9 18 0 9 18 12 15 21 15 12 12 3 6 12 24 6 15 15 24 12 3 24 18 15 3 3 15 3 21 9 0 12 18 21 21 9 9 18 18 3 15 21 24 24 3 15 24 0 0 3 0 9 18 15 21 6 21 6 3 15 15 21 3 0 6 6 12 3 21 15 9 18 0 6 0 24 3 18 15 9 12 15 6 18 0 0 3 18 18 3 12 21 15 24 6 0 9 12 18 12 0 0 0 3 15 0 18 15 12 12 6 24 9 24 9 18 15 0 21 21 6 3 15 3 24 12 12 12 3 12 21 6 15 21 18 6 21 24 3 3 0 24 0 15 6 9 21 12 6 24 15 12 24 generates a code of length 53 over Z27 who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+112x^96+228x^97+228x^98+294x^99+594x^100+630x^101+1066x^102+1056x^103+1584x^104+2112x^105+3660x^106+2298x^107+2290x^108+1038x^109+774x^110+316x^111+384x^112+198x^113+224x^114+216x^115+66x^116+124x^117+96x^118+54x^119+20x^120+18x^121+2x^138 The gray image is a code over GF(3) with n=477, k=9 and d=288. This code was found by Heurico 1.16 in 1.54 seconds.