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 3 1 0 1 1 1 1 1 1 3 1 1 1 1 3 3 0 3 0 0 0 24 21 15 3 6 15 21 18 6 3 12 24 24 18 24 18 3 0 21 18 21 21 15 3 12 15 9 18 0 12 18 6 3 0 15 15 3 6 3 12 6 21 18 3 24 18 6 9 0 18 18 6 3 6 12 21 21 0 0 3 0 9 18 9 18 0 0 21 15 15 6 21 15 12 24 3 6 21 21 6 12 15 6 21 3 12 6 12 6 15 12 15 24 3 9 12 0 21 18 12 15 3 6 24 3 6 6 15 21 15 21 9 21 0 12 24 21 3 21 0 0 0 3 15 0 6 3 12 15 18 24 24 6 0 9 3 21 15 18 12 6 12 3 9 21 3 24 24 12 9 12 6 6 0 18 3 12 12 24 24 18 18 24 12 15 15 18 18 24 0 3 3 0 3 24 12 18 12 15 3 3 generates a code of length 62 over Z27 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+190x^114+126x^115+264x^116+610x^117+474x^118+294x^119+862x^120+864x^121+1680x^122+2200x^123+4296x^124+2940x^125+1692x^126+1212x^127+372x^128+392x^129+108x^130+150x^131+254x^132+114x^133+102x^134+216x^135+60x^136+18x^137+114x^138+36x^139+6x^140+20x^141+6x^143+8x^144+2x^171 The gray image is a code over GF(3) with n=558, k=9 and d=342. This code was found by Heurico 1.16 in 1.87 seconds.