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 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 0 1 3 1 1 3 0 1 1 1 1 1 3 3 1 3 1 3 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 6 18 21 3 0 24 6 0 12 0 21 15 3 24 9 21 0 21 9 15 18 3 12 21 0 15 6 21 18 12 9 6 12 3 15 24 15 9 3 18 3 6 24 15 15 21 3 9 0 9 6 6 21 24 9 21 12 21 24 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 9 0 18 9 9 0 18 9 9 18 18 9 9 0 9 9 18 0 9 9 18 0 0 0 9 18 18 0 18 9 9 18 9 0 0 9 9 18 18 9 9 0 0 18 0 18 9 18 0 18 0 18 9 0 18 18 0 9 0 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 9 18 0 9 9 9 9 0 9 18 0 0 18 0 18 0 9 18 18 18 9 9 0 18 0 0 9 18 0 18 9 9 0 9 0 0 9 0 18 0 18 0 18 18 9 0 9 18 9 0 9 18 0 18 0 18 9 0 18 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 9 18 9 9 0 9 0 9 0 9 9 9 9 0 9 18 0 9 18 0 0 18 9 18 9 18 18 9 18 18 9 18 0 0 18 18 18 9 9 18 18 18 0 0 9 0 18 18 9 18 18 18 9 9 9 9 18 0 18 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 9 0 0 18 0 9 0 0 18 0 18 9 0 18 9 18 18 9 9 0 9 18 9 0 18 18 9 18 9 0 18 0 0 18 0 18 9 18 0 0 9 18 18 18 18 18 18 0 0 0 0 0 9 0 9 9 0 9 18 generates a code of length 80 over Z27 who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+70x^147+144x^148+114x^149+134x^150+348x^151+312x^152+280x^153+546x^154+408x^155+1296x^156+1356x^157+492x^158+3438x^159+2376x^160+606x^161+3450x^162+1728x^163+522x^164+628x^165+342x^166+246x^167+40x^168+228x^169+162x^170+28x^171+156x^172+42x^173+22x^174+48x^175+12x^176+30x^177+18x^178+24x^180+14x^183+8x^186+6x^189+4x^195+2x^201+2x^210 The gray image is a code over GF(3) with n=720, k=9 and d=441. This code was found by Heurico 1.16 in 3.16 seconds.