The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 0 1 24 1 1 21 1 1 1 1 1 24 21 1 1 0 1 1 1 21 1 1 1 1 1 1 0 1 1 24 1 12 1 9 1 3 6 1 1 18 1 1 1 1 1 1 0 1 1 21 0 1 7 26 21 4 20 1 19 24 1 23 26 0 1 16 1 24 23 1 19 20 4 21 20 1 1 26 16 1 4 0 19 1 24 23 0 16 19 4 1 20 16 1 11 1 6 1 21 1 1 11 11 1 24 26 21 23 5 2 1 14 8 1 0 0 9 0 0 0 18 9 18 9 9 9 9 9 18 0 18 0 0 9 0 9 18 9 9 0 9 18 9 0 0 18 9 18 0 0 18 9 9 18 0 0 9 9 0 9 18 18 0 18 9 0 9 18 9 9 0 0 0 18 18 9 9 0 0 0 0 9 0 9 9 9 18 18 0 18 9 0 9 18 0 9 0 9 9 0 18 18 9 18 18 0 9 9 18 18 18 9 18 18 0 0 18 0 0 0 9 9 18 18 9 0 0 9 0 0 9 9 0 18 9 9 9 0 0 9 18 0 0 0 0 0 18 18 0 18 18 9 18 18 0 18 18 18 18 9 9 9 0 18 9 0 9 0 9 18 18 18 9 9 18 0 9 18 0 9 9 18 18 18 9 0 0 0 9 0 9 18 0 0 0 0 0 0 0 18 9 0 9 9 9 9 generates a code of length 64 over Z27 who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+536x^120+450x^121+216x^122+1346x^123+1206x^124+216x^125+2798x^126+2232x^127+486x^128+3562x^129+2304x^130+432x^131+2214x^132+1062x^133+108x^134+306x^135+36x^136+96x^138+52x^141+6x^144+4x^150+12x^153+2x^159 The gray image is a code over GF(3) with n=576, k=9 and d=360. This code was found by Heurico 1.16 in 26.2 seconds.