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 3 1 3 1 1 1 1 1 1 1 1 3 3 3 0 3 0 0 24 21 15 3 24 21 18 0 21 15 9 24 15 21 12 21 18 18 15 6 21 0 12 12 9 21 15 15 24 12 3 24 9 3 21 0 15 24 12 9 24 24 18 3 3 6 15 18 12 3 15 24 9 15 18 9 3 18 21 9 3 0 0 3 24 0 15 21 3 6 6 21 0 3 21 15 9 6 18 3 24 21 18 9 3 18 6 3 0 18 6 15 3 0 21 3 24 15 24 9 12 21 0 24 21 24 6 0 21 3 12 3 21 24 21 21 9 3 24 0 6 6 21 24 15 12 0 0 0 9 0 0 18 0 0 9 18 9 18 9 18 0 0 0 18 0 18 0 9 9 0 9 9 9 9 18 0 0 9 0 9 9 18 18 18 9 0 18 0 9 9 18 18 18 9 18 0 9 9 0 9 0 9 0 18 0 18 0 18 0 18 0 0 0 0 9 18 0 9 18 0 18 9 0 0 0 0 0 18 18 0 0 18 9 18 9 18 9 9 18 0 9 0 18 18 0 9 9 18 9 9 9 9 9 18 18 0 18 9 18 18 18 18 18 0 9 18 0 9 0 9 9 9 9 9 9 generates a code of length 65 over Z27 who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+456x^120+1024x^123+162x^124+1436x^126+972x^127+972x^128+2326x^129+4860x^130+1944x^131+2412x^132+1296x^133+708x^135+532x^138+342x^141+202x^144+34x^147+2x^150+2x^180 The gray image is a code over GF(3) with n=585, k=9 and d=360. This code was found by Heurico 1.16 in 2.2 seconds.