The generator matrix 1 0 0 0 1 1 1 18 1 1 1 1 1 1 1 1 1 12 1 24 1 24 6 1 21 12 1 1 1 1 18 1 1 18 1 24 1 1 24 1 1 1 1 1 6 1 1 1 1 0 12 6 9 1 1 6 1 1 1 1 1 1 1 1 3 0 1 0 0 18 1 19 1 18 0 26 23 22 7 12 25 17 1 6 1 15 12 1 24 1 1 4 11 5 19 3 16 20 1 22 1 6 11 3 16 8 20 13 24 1 21 20 14 25 21 1 15 1 24 2 1 3 25 6 24 9 26 4 10 1 0 0 1 0 16 25 14 7 4 23 12 13 11 15 24 21 14 10 20 17 17 1 2 18 11 25 21 3 25 10 1 10 23 6 17 6 7 11 1 13 13 24 0 24 20 8 26 17 10 1 9 1 0 10 15 19 7 26 3 13 26 16 18 4 16 0 0 0 1 14 9 5 5 22 24 1 6 16 13 17 21 2 9 19 17 14 7 1 4 24 13 26 0 26 13 8 17 19 13 12 23 21 3 0 18 7 26 5 24 25 1 16 15 1 16 21 11 19 6 1 8 26 23 19 26 14 6 8 20 23 generates a code of length 65 over Z27 who´s minimum homogenous weight is 119. Homogenous weight enumerator: w(x)=1x^0+1134x^119+2420x^120+4818x^121+9060x^122+11826x^123+15534x^124+25110x^125+28100x^126+31992x^127+47418x^128+48482x^129+50862x^130+62736x^131+52632x^132+41910x^133+40356x^134+24472x^135+14688x^136+9864x^137+4400x^138+1962x^139+1008x^140+360x^141+30x^142+90x^143+50x^144+30x^145+48x^146+30x^147+12x^148+6x^149 The gray image is a code over GF(3) with n=585, k=12 and d=357. This code was found by Heurico 1.16 in 519 seconds.