The generator matrix 1 0 1 1 1 1 1 3 24 1 1 1 1 3 1 1 1 1 1 0 21 1 1 1 1 1 18 1 0 1 1 1 1 1 1 1 21 1 1 6 1 1 1 0 1 21 1 1 1 1 1 1 1 24 21 3 1 6 1 9 24 1 1 0 1 1 26 18 25 26 1 1 26 16 21 4 1 18 20 12 5 16 1 1 24 7 23 18 23 1 1 1 3 12 2 20 11 10 12 1 19 21 1 2 2 19 1 11 1 8 16 24 26 16 12 22 1 1 21 11 1 2 1 1 1 18 0 0 24 0 18 0 0 9 0 18 18 9 9 12 21 6 24 12 24 21 15 15 6 3 12 24 12 21 15 6 3 6 3 18 24 6 15 21 6 18 0 0 3 9 12 0 12 3 9 3 15 21 6 3 3 24 21 24 18 18 0 24 18 0 0 0 3 21 12 9 3 15 6 24 6 18 15 24 24 3 24 6 3 9 18 3 12 3 9 18 15 12 6 0 12 9 0 6 18 24 12 15 21 24 12 3 3 0 18 6 6 21 3 12 3 0 12 24 21 15 9 12 15 21 3 12 generates a code of length 63 over Z27 who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+312x^116+360x^117+594x^118+1632x^119+1974x^120+2142x^121+3744x^122+3720x^123+4608x^124+6180x^125+6922x^126+5886x^127+6222x^128+5228x^129+3690x^130+2838x^131+1116x^132+576x^133+600x^134+186x^135+216x^137+134x^138+96x^140+24x^141+18x^143+10x^144+12x^146+8x^147 The gray image is a code over GF(3) with n=567, k=10 and d=348. This code was found by Heurico 1.16 in 9.57 seconds.