The generator matrix 1 0 1 1 1 1 1 1 18 1 21 1 1 0 1 15 1 1 1 1 24 1 1 1 1 24 3 3 1 1 1 1 1 1 1 1 1 1 21 1 1 9 0 1 1 1 1 1 1 1 1 21 1 1 1 1 1 1 1 24 1 1 1 0 9 0 1 1 26 18 17 0 25 1 20 1 4 26 1 23 1 16 23 18 19 1 19 4 5 3 1 1 1 16 21 11 15 13 11 15 1 24 23 1 1 17 1 1 13 2 6 21 12 21 17 7 1 15 11 5 5 23 20 5 1 2 14 11 1 1 0 0 24 9 21 12 6 3 3 18 0 0 15 15 18 21 15 6 24 0 15 3 15 21 21 9 3 24 18 9 15 3 12 12 9 6 15 24 9 12 21 21 24 18 9 6 0 3 24 6 0 12 0 24 18 9 12 6 3 24 21 24 3 9 18 generates a code of length 65 over Z27 who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+402x^125+922x^126+378x^127+756x^128+894x^129+270x^130+714x^131+750x^132+270x^133+444x^134+542x^135+54x^136+84x^137+38x^138+6x^141+18x^143+6x^146+2x^147+6x^149+2x^153+2x^156 The gray image is a code over GF(3) with n=585, k=8 and d=375. This code was found by Heurico 1.16 in 0.362 seconds.