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 3 1 1 0 1 1 1 1 1 1 3 1 1 3 3 1 1 1 1 3 1 0 3 24 0 21 24 0 21 24 9 21 24 6 0 21 12 6 9 24 0 21 12 24 6 9 21 18 3 0 3 21 24 15 15 3 24 9 24 18 0 6 21 18 15 24 21 15 18 9 9 21 24 0 0 9 0 0 0 0 18 9 0 9 18 18 0 0 9 0 0 9 18 18 9 9 18 18 9 18 9 9 18 0 9 9 9 0 0 18 18 18 0 18 0 9 9 18 9 9 18 9 9 18 0 0 0 0 9 0 0 0 0 0 18 0 9 18 9 9 9 9 18 9 18 9 9 18 18 0 9 18 0 9 0 9 0 18 18 0 9 18 0 0 18 0 9 9 0 9 9 18 18 18 9 0 0 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 0 18 0 18 18 0 0 0 9 9 18 18 0 18 18 9 0 18 18 18 18 0 9 9 9 9 9 0 0 18 9 9 0 9 0 9 9 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 18 9 9 9 9 9 0 18 0 18 0 9 18 0 9 0 0 18 18 18 0 9 18 0 18 18 9 18 18 9 generates a code of length 52 over Z27 who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+60x^91+94x^93+168x^94+220x^96+654x^97+764x^99+1074x^100+3232x^102+2562x^103+5150x^105+3048x^106+1194x^108+732x^109+128x^111+294x^112+42x^114+132x^115+36x^117+24x^118+30x^120+20x^123+10x^126+6x^129+4x^132+2x^135+2x^138 The gray image is a code over GF(3) with n=468, k=9 and d=273. This code was found by Heurico 1.16 in 1.79 seconds.