The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 24 1 1 1 0 1 1 21 1 1 1 24 1 1 1 21 1 1 1 1 12 6 1 1 1 9 1 1 1 1 1 21 24 1 1 1 1 1 1 0 1 1 1 21 15 15 1 1 12 0 1 1 1 15 18 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 21 1 23 24 19 1 4 26 0 1 16 21 1 20 19 24 1 12 16 4 1 24 23 0 20 1 1 23 6 19 1 21 24 26 26 16 1 1 13 20 4 16 21 0 1 6 8 9 1 1 1 11 10 1 1 13 17 11 1 1 19 17 19 0 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 9 0 9 0 18 0 0 0 0 9 18 0 18 0 0 9 18 0 9 18 18 18 9 9 18 18 0 18 18 9 0 18 18 0 0 0 18 18 18 9 9 9 18 9 18 9 0 18 18 9 0 0 0 0 9 18 9 0 18 0 9 18 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 18 0 18 18 0 0 0 18 18 18 9 18 9 0 18 9 18 18 18 0 9 0 9 18 0 0 9 0 0 0 9 18 9 9 18 0 9 9 0 0 9 18 18 0 18 0 0 18 9 18 0 9 0 9 18 9 9 9 9 9 18 18 9 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 18 9 18 0 9 9 0 18 18 18 0 0 18 0 9 18 0 0 9 9 18 0 9 0 0 9 18 0 9 9 9 18 9 9 0 0 18 9 18 0 0 18 18 9 18 18 9 9 18 18 18 18 18 18 0 9 9 9 18 9 9 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 18 0 0 0 9 9 9 9 9 18 0 18 9 0 9 9 9 0 9 0 0 0 0 0 18 9 9 18 0 18 0 18 9 18 9 9 18 18 0 0 0 0 9 0 18 9 0 18 0 9 9 0 18 9 9 9 0 0 9 9 0 9 18 generates a code of length 83 over Z27 who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+134x^153+66x^154+186x^155+474x^156+570x^157+1452x^158+1262x^159+1446x^160+3858x^161+1702x^162+2736x^163+8124x^164+2934x^165+4458x^166+10320x^167+3274x^168+3450x^169+6174x^170+1510x^171+1554x^172+1836x^173+772x^174+198x^175+108x^176+186x^177+72x^178+12x^179+52x^180+18x^181+6x^182+18x^183+12x^184+24x^186+20x^189+12x^192+4x^195+6x^198+2x^201+2x^204+4x^207 The gray image is a code over GF(3) with n=747, k=10 and d=459. This code was found by Heurico 1.16 in 14.2 seconds.