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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 3 0 3 24 0 21 24 6 9 21 21 0 24 21 0 24 6 18 12 21 0 9 12 0 21 24 6 6 15 9 12 9 24 12 12 9 24 6 12 6 9 0 21 3 15 18 3 18 9 6 6 24 12 9 21 24 0 21 0 9 12 3 3 18 21 0 0 9 0 0 0 18 0 18 9 0 9 9 9 0 9 9 0 18 18 9 0 18 9 9 0 18 18 18 9 9 0 9 18 18 0 9 18 18 18 9 18 0 18 0 9 0 9 18 0 9 18 9 0 9 0 0 0 18 0 0 18 0 18 0 0 0 9 0 9 18 18 18 9 0 18 0 18 18 18 0 18 0 0 18 9 18 0 9 0 0 9 9 18 9 0 9 9 9 9 9 0 0 18 9 9 9 18 18 0 18 0 18 18 18 9 0 18 9 9 0 9 18 9 9 0 0 18 0 0 0 0 18 18 9 0 18 9 18 18 0 0 18 0 9 0 18 18 9 0 18 9 0 18 9 9 18 9 9 9 0 18 9 9 18 9 18 0 0 0 18 18 18 18 9 0 0 9 9 9 18 9 9 18 18 9 9 9 9 0 9 18 generates a code of length 64 over Z27 who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+196x^120+90x^121+18x^122+252x^123+294x^124+108x^125+186x^126+732x^127+3132x^128+214x^129+714x^130+144x^131+136x^132+36x^133+74x^135+24x^136+72x^138+6x^139+40x^141+48x^142+36x^144+2x^147+4x^150+2x^183 The gray image is a code over GF(3) with n=576, k=8 and d=360. This code was found by Heurico 1.16 in 0.366 seconds.