The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 0 1 1 1 21 1 1 1 1 24 1 1 1 9 1 1 1 1 1 1 24 1 12 1 6 1 1 1 1 1 24 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 0 1 3 1 21 0 1 7 26 21 4 20 1 24 19 23 1 21 4 1 26 0 24 1 16 20 19 23 1 9 16 5 1 12 13 24 19 6 20 1 11 1 8 1 10 24 19 20 6 1 10 11 1 0 9 21 15 0 18 21 9 12 6 16 26 1 23 12 13 1 0 0 9 0 18 18 9 0 0 9 18 18 9 0 18 18 9 18 9 18 0 0 9 9 18 0 0 9 0 9 9 9 9 18 0 18 18 9 9 18 0 0 0 18 0 18 9 18 0 9 9 0 9 18 18 18 0 18 18 0 0 9 0 0 18 0 0 0 9 0 18 18 9 9 9 9 0 18 0 18 0 9 18 18 9 18 18 0 9 18 18 18 9 9 9 18 0 9 9 0 0 0 18 18 18 0 0 9 0 9 9 0 18 9 0 9 18 18 9 18 0 0 9 0 0 18 9 9 9 9 generates a code of length 65 over Z27 who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+234x^124+324x^125+702x^126+414x^127+756x^128+606x^129+648x^130+810x^131+372x^132+468x^133+486x^134+458x^135+162x^136+54x^137+40x^138+18x^145+6x^150+2x^165 The gray image is a code over GF(3) with n=585, k=8 and d=372. This code was found by Heurico 1.16 in 17.7 seconds.