The generator matrix 1 0 0 1 1 1 1 1 1 1 24 1 21 1 0 1 6 1 1 1 18 1 6 1 1 1 1 1 1 1 6 12 1 3 9 1 1 1 1 18 1 1 1 1 1 1 6 1 1 12 1 1 1 3 1 1 1 1 21 1 1 0 1 0 0 9 16 16 14 1 14 1 17 1 18 1 4 1 5 2 24 6 15 1 4 16 26 5 25 11 19 3 1 12 1 1 12 3 8 9 15 5 15 15 8 7 6 1 26 25 24 18 15 10 1 26 23 22 13 12 1 8 0 0 1 1 17 17 15 16 7 21 13 20 17 0 1 3 12 25 18 4 1 5 8 8 7 18 19 16 5 12 1 26 24 0 4 3 19 14 17 1 14 25 15 12 2 1 18 14 0 1 15 17 23 21 14 6 26 18 1 19 20 0 0 0 24 18 9 0 9 0 18 0 18 9 15 12 21 21 12 3 0 6 3 3 6 21 6 15 24 6 6 3 15 3 24 6 18 21 0 15 21 3 6 24 12 15 12 18 24 21 18 18 0 6 24 12 9 0 9 15 24 9 generates a code of length 61 over Z27 who´s minimum homogenous weight is 112. Homogenous weight enumerator: w(x)=1x^0+498x^112+1518x^113+2248x^114+3816x^115+5952x^116+7310x^117+9750x^118+12234x^119+14696x^120+17760x^121+18792x^122+19480x^123+18618x^124+15144x^125+11024x^126+8178x^127+5124x^128+2660x^129+924x^130+828x^131+142x^132+138x^133+126x^134+16x^135+72x^136+48x^137+14x^138+24x^139+12x^140 The gray image is a code over GF(3) with n=549, k=11 and d=336. This code was found by Heurico 1.16 in 73.2 seconds.