The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 18 1 0 1 1 1 1 1 3 1 1 1 1 1 3 3 3 1 3 1 1 1 1 3 0 3 0 0 0 24 21 15 3 6 15 21 18 6 3 12 24 24 18 24 18 21 21 18 6 9 12 12 0 21 18 6 24 9 12 6 15 6 24 24 18 12 3 12 0 21 9 3 18 0 0 15 18 0 3 12 9 6 21 21 21 6 24 15 9 18 0 0 3 0 9 18 9 18 0 0 21 15 15 6 21 15 12 24 3 6 21 21 6 6 21 6 12 15 24 12 6 15 12 9 12 9 3 15 15 9 3 9 12 15 18 9 9 12 24 21 15 0 12 9 6 6 21 18 15 12 9 0 15 18 18 21 0 0 0 3 15 0 6 3 12 15 18 24 24 6 0 9 3 21 15 18 12 3 21 21 15 18 6 12 18 3 12 6 24 18 18 9 12 18 3 6 12 18 18 6 3 15 3 6 3 0 12 12 0 18 3 9 21 3 6 12 18 12 6 18 24 0 generates a code of length 66 over Z27 who´s minimum homogenous weight is 122. Homogenous weight enumerator: w(x)=1x^0+318x^122+234x^123+36x^124+732x^125+556x^126+198x^127+1254x^128+1480x^129+810x^130+2634x^131+3480x^132+1530x^133+2484x^134+1710x^135+342x^136+564x^137+232x^138+294x^140+192x^141+276x^143+100x^144+162x^146+32x^147+30x^149+2x^174 The gray image is a code over GF(3) with n=594, k=9 and d=366. This code was found by Heurico 1.16 in 2.03 seconds.