The generator matrix 1 0 1 1 1 1 21 1 1 24 1 1 1 0 1 1 18 1 3 15 1 1 1 1 1 1 1 1 1 1 1 1 21 1 1 1 1 21 1 1 24 1 12 24 1 1 1 1 1 1 1 1 1 1 1 1 21 0 1 3 3 1 1 0 1 1 26 21 20 1 24 23 1 16 4 0 1 24 25 1 2 1 1 17 22 21 1 14 16 20 18 4 20 23 3 1 5 1 9 2 1 16 10 1 21 1 1 15 3 23 24 11 1 8 22 3 0 7 14 1 1 3 12 0 3 25 0 0 24 0 18 18 18 0 18 18 15 24 6 24 6 21 3 3 12 12 12 21 15 3 12 18 15 21 0 9 3 21 0 15 6 0 3 6 21 9 15 18 12 18 12 6 12 24 18 6 12 3 9 12 9 18 15 21 6 6 6 0 3 0 0 0 9 9 0 18 18 18 9 18 9 18 9 0 18 9 18 0 18 0 9 9 0 9 9 18 18 18 9 18 9 9 9 18 9 9 18 9 18 9 18 9 18 9 0 0 18 18 9 9 18 0 18 9 0 0 0 9 9 18 0 18 generates a code of length 63 over Z27 who´s minimum homogenous weight is 118. Homogenous weight enumerator: w(x)=1x^0+222x^118+312x^119+824x^120+1152x^121+1140x^122+1762x^123+1560x^124+1560x^125+2350x^126+2190x^127+1416x^128+1872x^129+1302x^130+732x^131+630x^132+276x^133+108x^134+68x^135+42x^136+54x^137+20x^138+30x^139+18x^140+2x^141+18x^142+6x^143+2x^144+12x^145+2x^147 The gray image is a code over GF(3) with n=567, k=9 and d=354. This code was found by Heurico 1.16 in 1.13 seconds.