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 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 3 1 1 1 1 1 3 1 3 18 3 1 1 1 0 3 0 0 0 24 21 15 3 6 15 21 18 6 3 12 24 24 18 24 18 21 21 18 6 9 12 12 0 21 18 6 24 9 12 6 15 6 24 24 18 12 0 0 18 3 12 0 21 15 0 3 9 0 18 24 3 18 12 9 21 24 9 18 3 3 24 0 3 24 9 6 0 0 0 3 0 9 18 9 18 0 0 21 15 15 6 21 15 12 24 3 6 21 21 6 6 21 6 12 15 24 12 6 15 12 9 12 9 3 15 15 9 3 9 12 21 9 6 9 18 15 0 24 12 9 6 3 3 6 0 21 3 15 9 6 18 6 12 15 3 9 18 9 0 0 0 0 0 3 15 0 6 3 12 15 18 24 24 6 0 9 3 21 15 18 12 3 21 21 15 18 6 12 18 3 12 6 24 18 18 9 12 18 3 6 12 18 0 24 24 3 21 3 15 6 15 6 21 21 18 3 6 15 9 9 12 15 0 24 0 18 18 21 21 9 15 0 9 generates a code of length 73 over Z27 who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+76x^135+108x^136+294x^137+392x^138+330x^139+630x^140+512x^141+870x^142+1278x^143+1438x^144+2232x^145+3450x^146+2118x^147+2130x^148+1596x^149+540x^150+360x^151+150x^152+210x^153+132x^154+162x^155+130x^156+90x^157+90x^158+122x^159+48x^160+84x^161+34x^162+12x^163+36x^164+12x^165+6x^166+6x^167+2x^168+2x^198 The gray image is a code over GF(3) with n=657, k=9 and d=405. This code was found by Heurico 1.16 in 2.29 seconds.