The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 1 1 1 1 1 0 24 1 21 1 1 1 1 0 1 21 1 24 0 1 1 1 1 1 1 9 1 1 1 1 1 1 1 21 24 12 1 6 1 1 1 1 21 1 1 0 1 7 26 21 4 20 1 19 24 1 23 26 0 16 20 19 23 4 1 1 24 1 21 26 20 0 1 21 1 23 1 1 16 23 19 24 16 19 1 4 11 24 21 5 12 16 1 1 1 20 1 13 6 6 10 1 16 0 0 0 9 0 0 0 18 9 18 9 9 9 9 18 9 9 0 0 18 0 18 18 18 18 9 18 9 0 18 18 18 0 18 0 18 9 0 0 9 18 9 9 18 0 18 0 0 0 0 18 18 0 9 0 18 0 9 18 9 0 0 0 9 0 9 9 9 18 18 0 18 0 9 9 18 0 9 18 9 18 9 18 18 0 9 9 18 18 18 9 18 9 9 18 18 18 9 9 9 18 18 9 18 18 18 18 9 0 9 0 18 9 9 0 18 18 0 9 0 0 0 0 18 18 0 18 18 9 18 18 9 9 0 0 9 9 9 9 0 18 18 0 18 9 9 0 9 9 18 9 9 0 18 9 18 9 18 18 18 9 0 9 0 0 9 0 18 0 18 18 9 9 0 0 9 0 0 generates a code of length 59 over Z27 who´s minimum homogenous weight is 109. Homogenous weight enumerator: w(x)=1x^0+156x^109+126x^110+516x^111+594x^112+552x^113+1380x^114+1476x^115+948x^116+3010x^117+2118x^118+1380x^119+2854x^120+1926x^121+726x^122+1186x^123+414x^124+78x^125+16x^126+102x^127+60x^128+10x^129+18x^130+18x^131+4x^132+4x^138+4x^141+6x^144 The gray image is a code over GF(3) with n=531, k=9 and d=327. This code was found by Heurico 1.16 in 4.35 seconds.