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 0 1 1 1 24 1 1 1 1 1 6 1 1 1 1 21 1 1 1 1 1 1 0 15 1 12 1 1 9 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 0 26 1 16 21 1 20 19 24 1 12 16 4 1 24 20 0 1 21 19 6 1 26 23 16 4 24 1 7 23 19 26 1 13 13 8 16 5 20 1 1 23 1 8 15 1 26 16 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 18 9 18 18 9 18 18 0 0 0 18 18 18 18 18 18 18 0 18 0 18 9 18 0 0 9 18 0 18 0 9 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 18 0 18 18 9 18 9 0 18 9 18 18 18 0 9 0 9 0 9 0 9 0 9 9 18 18 18 0 18 0 9 0 0 9 18 9 9 0 18 18 0 9 0 0 9 9 18 18 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 18 9 0 9 0 9 18 9 18 0 9 18 0 0 9 18 18 0 18 0 9 18 9 9 18 0 9 18 18 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 9 0 0 18 18 9 9 9 0 18 9 9 9 9 9 18 9 9 18 0 0 0 9 18 9 9 9 9 0 0 9 generates a code of length 74 over Z27 who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+100x^135+288x^137+506x^138+270x^139+1248x^140+1346x^141+1080x^142+2598x^143+4034x^144+2700x^145+5100x^146+6690x^147+4590x^148+6744x^149+7398x^150+3294x^151+4278x^152+3218x^153+1188x^154+1308x^155+544x^156+216x^158+92x^159+90x^161+48x^162+26x^165+14x^168+18x^171+6x^174+4x^177+6x^180+2x^183+2x^186+2x^192 The gray image is a code over GF(3) with n=666, k=10 and d=405. This code was found by Heurico 1.16 in 12.2 seconds.