The generator matrix 1 0 1 1 1 1 21 1 1 24 1 1 1 0 1 1 18 1 3 15 1 1 1 1 1 1 1 1 1 1 1 1 24 1 1 24 1 1 1 1 15 18 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 18 1 1 1 1 0 1 15 1 1 0 1 1 26 21 20 1 24 23 1 16 4 0 1 24 25 1 2 1 1 17 22 21 1 14 16 2 0 20 24 22 9 1 4 15 1 26 19 5 25 1 1 21 17 3 5 25 6 2 22 9 1 19 5 25 13 22 1 12 3 24 13 1 13 1 3 18 0 0 24 0 18 18 18 0 18 18 15 24 6 24 6 21 3 3 12 12 12 21 15 3 12 18 12 9 15 9 3 15 15 9 12 18 15 9 21 6 3 9 12 18 6 15 21 3 18 24 3 15 18 21 18 6 15 9 15 12 6 3 21 18 6 21 21 0 0 0 9 9 0 18 18 18 9 18 9 18 9 0 18 9 18 0 18 0 9 9 0 9 9 0 18 18 0 0 0 18 18 18 0 0 0 0 0 9 9 18 0 18 18 0 9 18 0 0 18 9 18 18 18 18 18 0 9 9 9 0 18 9 0 0 generates a code of length 67 over Z27 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+232x^126+288x^127+744x^128+1282x^129+1074x^130+1596x^131+1838x^132+1578x^133+2094x^134+2312x^135+1530x^136+1746x^137+1402x^138+792x^139+588x^140+312x^141+48x^142+12x^143+72x^144+18x^145+6x^146+38x^147+6x^148+12x^149+32x^150+12x^151+8x^153+6x^155+2x^156+2x^159 The gray image is a code over GF(3) with n=603, k=9 and d=378. This code was found by Heurico 1.16 in 1.23 seconds.