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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 0 1 1 1 3 1 3 1 0 3 0 0 24 21 15 3 24 21 18 0 21 15 9 24 15 21 3 3 12 18 18 6 12 9 24 24 21 21 15 18 15 0 6 12 18 12 15 6 21 15 18 3 6 18 12 0 21 15 9 24 0 18 21 3 3 15 18 15 12 9 3 0 0 3 24 0 15 21 3 6 6 21 0 3 21 15 18 6 9 3 18 6 24 0 3 12 21 9 24 15 0 18 15 3 9 15 12 21 9 24 0 15 12 12 21 9 6 6 15 9 15 18 9 21 21 0 24 15 6 21 12 24 3 0 0 0 0 9 0 0 18 0 0 9 18 9 18 9 18 9 9 9 18 0 0 0 18 0 18 9 0 18 18 18 18 18 18 9 0 0 18 0 9 0 18 9 9 9 9 0 9 0 18 0 0 18 9 18 0 0 18 18 0 18 9 9 9 0 0 0 0 9 18 0 9 18 0 18 9 0 0 0 9 18 18 18 9 9 0 9 0 9 9 0 18 0 18 18 9 9 18 0 18 0 18 0 18 18 9 0 0 18 9 9 18 0 9 9 0 18 0 18 18 9 0 18 9 0 0 9 generates a code of length 63 over Z27 who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+318x^116+192x^117+684x^119+464x^120+216x^121+1284x^122+1078x^123+1296x^124+2616x^125+3112x^126+2592x^127+2556x^128+1246x^129+270x^130+450x^131+208x^132+450x^134+138x^135+264x^137+88x^138+102x^140+28x^141+18x^143+2x^144+6x^146+2x^147+2x^171 The gray image is a code over GF(3) with n=567, k=9 and d=348. This code was found by Heurico 1.16 in 2.14 seconds.