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 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 0 9 0 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 9 9 9 0 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 0 18 0 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 18 9 18 9 0 18 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 0 18 0 generates a code of length 64 over Z27 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+8x^126+210x^128+16x^129+6x^137+2x^165 The gray image is a code over GF(3) with n=576, k=5 and d=378. This code was found by Heurico 1.16 in 0.0816 seconds.