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 1 9 1 1 24 1 21 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 6 24 1 1 24 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 20 0 26 1 1 6 19 23 21 1 24 26 1 16 1 23 13 8 4 16 21 0 1 6 5 8 10 12 20 9 19 23 3 9 8 5 1 1 14 16 1 0 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 0 18 18 9 18 0 18 0 0 0 18 18 18 18 9 9 9 18 9 18 0 0 9 9 0 18 9 0 9 18 18 0 9 18 0 0 0 0 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 0 0 9 9 0 18 9 9 18 0 9 9 0 0 9 18 18 0 18 0 0 9 9 9 18 9 0 9 0 0 18 18 0 18 0 0 9 0 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 9 18 0 9 0 9 9 0 9 9 18 0 18 9 18 0 0 18 18 9 9 18 18 9 9 18 9 0 18 0 0 9 0 0 0 0 9 0 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 18 0 9 0 18 18 9 18 9 9 18 18 0 0 0 0 9 0 18 9 0 0 18 18 0 9 18 0 0 18 18 0 9 9 18 18 9 0 generates a code of length 84 over Z27 who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+34x^153+12x^154+30x^155+360x^156+120x^157+384x^158+982x^159+582x^160+1626x^161+2544x^162+1296x^163+3810x^164+5066x^165+2178x^166+6282x^167+6956x^168+3378x^169+7092x^170+6002x^171+1788x^172+3426x^173+2700x^174+726x^175+570x^176+546x^177+90x^178+84x^179+170x^180+36x^181+24x^182+62x^183+30x^186+14x^189+18x^192+14x^195+4x^198+2x^201+4x^204+6x^207 The gray image is a code over GF(3) with n=756, k=10 and d=459. This code was found by Heurico 1.16 in 14.2 seconds.