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 1 1 1 1 1 1 1 1 1 0 1 18 1 0 1 0 3 3 0 0 3 0 3 0 0 24 21 15 3 24 21 18 0 21 15 9 24 15 3 15 9 12 3 15 18 0 15 21 3 6 18 24 0 15 3 24 3 12 6 18 21 21 3 3 0 3 6 3 24 3 18 24 3 18 24 0 0 3 24 0 15 21 3 6 6 21 0 3 21 15 18 6 18 15 3 6 21 12 15 9 18 18 0 21 0 18 9 21 9 3 3 3 6 24 18 6 21 6 3 21 0 9 6 15 24 15 6 3 0 0 0 0 9 0 0 18 0 0 9 18 9 18 9 18 9 9 18 18 9 18 9 0 0 0 9 0 9 0 9 0 0 18 0 9 0 0 0 9 9 9 18 18 9 9 18 18 9 0 18 9 0 0 18 0 0 0 0 9 18 0 9 18 0 18 9 0 0 0 9 18 0 0 18 18 0 9 9 18 0 18 9 0 18 0 9 18 9 9 0 18 9 9 18 18 18 18 9 18 0 0 0 18 18 0 0 18 9 generates a code of length 54 over Z27 who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+600x^99+18x^100+72x^101+1410x^102+144x^103+576x^104+2114x^105+1404x^106+1728x^107+2744x^108+2520x^109+1818x^110+2554x^111+288x^112+180x^113+736x^114+458x^117+244x^120+64x^123+2x^126+4x^129+2x^132+2x^135 The gray image is a code over GF(3) with n=486, k=9 and d=297. This code was found by Heurico 1.16 in 51.6 seconds.