The generator matrix 1 0 1 1 1 1 1 1 0 1 18 1 1 1 1 24 1 21 1 1 3 21 1 1 1 6 1 1 1 1 24 1 1 1 1 21 1 1 1 1 1 1 24 1 3 1 1 1 1 9 1 1 1 1 1 24 1 3 1 1 18 1 3 1 0 1 1 1 1 1 1 1 12 1 3 1 1 9 1 0 1 0 1 1 26 21 20 16 24 1 22 1 17 5 16 18 1 4 1 26 0 1 1 23 24 4 1 26 21 20 10 1 5 11 1 15 1 3 4 25 0 23 21 1 6 1 3 20 1 24 1 21 26 19 9 1 1 11 1 4 10 1 8 1 7 1 22 10 13 22 23 12 15 1 22 1 10 8 1 9 1 17 0 0 24 0 18 18 9 0 6 21 21 21 15 6 12 15 24 15 24 15 21 0 9 15 0 3 9 15 15 0 15 12 12 21 12 18 3 6 12 18 3 18 21 21 3 24 0 21 9 24 21 24 18 24 15 0 21 0 9 15 18 3 6 9 6 12 12 12 6 6 0 15 3 21 3 9 18 9 9 15 18 0 0 0 9 9 0 18 18 18 9 9 0 0 18 0 0 9 9 18 0 0 18 0 9 9 18 18 0 9 0 18 18 9 9 9 9 18 0 18 9 0 0 0 0 18 9 18 18 9 0 9 0 18 18 18 18 18 0 0 9 9 9 18 9 9 0 0 18 18 9 18 18 9 0 0 0 18 9 18 0 0 generates a code of length 81 over Z27 who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+138x^154+468x^155+1236x^156+990x^157+1302x^158+1726x^159+1620x^160+1542x^161+2166x^162+1572x^163+1422x^164+1728x^165+1122x^166+816x^167+1002x^168+300x^169+156x^170+144x^171+54x^172+42x^173+6x^174+12x^175+36x^176+6x^177+6x^178+30x^179+18x^181+12x^182+6x^185+2x^186+2x^189 The gray image is a code over GF(3) with n=729, k=9 and d=462. This code was found by Heurico 1.16 in 1.63 seconds.