The generator matrix 1 0 0 0 1 1 1 18 1 1 1 1 1 1 1 1 1 12 1 24 24 1 6 1 1 1 1 0 15 3 1 1 6 1 1 1 1 1 1 0 1 9 9 0 1 24 1 1 1 1 21 1 1 1 6 1 1 9 1 3 1 15 1 0 1 0 0 18 1 19 1 18 0 26 23 22 7 12 25 17 1 6 1 12 15 1 24 23 5 11 1 1 1 1 4 15 5 8 19 18 6 13 1 2 1 1 15 14 18 6 13 21 8 1 13 25 23 1 10 17 1 1 1 24 12 10 0 0 1 0 16 25 14 7 4 23 12 13 11 15 24 21 14 10 20 17 1 17 2 18 12 25 26 20 4 9 1 14 1 24 2 3 15 7 22 6 25 22 5 1 9 1 5 24 7 19 4 10 17 10 1 25 18 12 26 14 8 24 8 0 0 0 1 14 9 5 5 22 24 1 6 16 13 17 21 2 9 19 17 7 14 1 4 5 26 10 6 4 25 22 9 20 0 3 23 20 21 23 2 1 24 12 5 23 13 15 19 2 6 19 16 1 22 6 3 15 18 17 13 13 1 15 generates a code of length 63 over Z27 who´s minimum homogenous weight is 115. Homogenous weight enumerator: w(x)=1x^0+1170x^115+2118x^116+4572x^117+8460x^118+11004x^119+16616x^120+23436x^121+25554x^122+36632x^123+46968x^124+47814x^125+56640x^126+60618x^127+50010x^128+46292x^129+38346x^130+22554x^131+16292x^132+9426x^133+3858x^134+1508x^135+996x^136+294x^137+38x^138+84x^139+60x^140+14x^141+18x^142+30x^143+18x^145 The gray image is a code over GF(3) with n=567, k=12 and d=345. This code was found by Heurico 1.16 in 500 seconds.