The generator matrix 1 0 0 1 1 1 1 1 9 1 1 1 15 1 1 1 12 1 3 1 1 1 1 1 24 1 1 3 1 1 3 1 1 1 1 1 15 1 0 0 1 21 18 1 1 1 1 1 1 1 1 1 1 1 1 21 1 0 1 0 18 1 19 23 21 1 4 5 26 1 9 22 3 1 17 1 20 11 0 16 7 1 16 15 1 12 6 3 13 10 22 14 23 1 20 21 1 2 1 1 7 5 1 19 16 15 6 11 4 3 10 4 1 15 0 0 1 16 25 18 17 8 22 5 22 6 20 21 7 23 13 11 0 12 10 4 7 24 12 2 22 5 21 14 1 6 20 1 12 15 19 17 1 3 13 17 10 9 10 5 19 14 17 25 11 4 0 24 9 2 10 generates a code of length 57 over Z27 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+600x^108+1200x^109+1362x^110+2564x^111+1968x^112+1248x^113+2800x^114+1254x^115+1368x^116+1984x^117+1176x^118+618x^119+850x^120+546x^121+96x^122+14x^123+6x^124+10x^126+6x^130+6x^131+6x^132 The gray image is a code over GF(3) with n=513, k=9 and d=324. This code was found by Heurico 1.16 in 0.73 seconds.