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 3 1 1 1 1 1 1 3 1 1 1 3 1 3 1 1 0 9 0 0 0 0 0 0 0 0 9 18 18 9 9 9 0 18 9 18 9 0 9 0 18 9 0 18 9 18 18 18 9 9 0 18 0 18 18 9 9 9 9 9 9 0 0 0 0 0 9 9 9 9 0 0 9 0 0 0 9 0 0 0 0 9 18 18 18 0 0 18 9 18 9 0 9 9 0 18 18 0 9 9 18 0 9 0 18 18 18 9 0 9 0 18 9 0 0 9 9 9 18 9 18 9 9 9 0 0 18 0 18 0 0 18 0 0 0 9 0 0 9 18 0 18 0 0 18 9 9 18 0 9 0 18 0 18 18 0 18 0 9 18 18 9 9 9 18 0 18 18 9 18 0 18 0 18 9 18 9 9 18 9 18 0 18 9 9 0 0 9 18 0 0 0 0 0 9 0 18 18 9 0 18 18 18 0 18 18 0 18 9 0 18 18 0 9 18 0 18 9 0 9 0 9 0 18 18 0 9 0 18 18 18 9 18 18 9 18 18 18 0 9 0 18 0 18 0 18 9 18 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 9 18 9 18 18 18 18 0 18 0 9 0 0 18 9 18 0 18 9 9 0 0 9 18 0 9 18 9 0 9 0 9 18 0 9 0 9 9 18 18 0 18 0 generates a code of length 58 over Z27 who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+132x^105+136x^108+144x^111+626x^114+4374x^116+636x^117+288x^120+96x^123+36x^126+48x^132+20x^135+16x^141+6x^144+2x^162 The gray image is a code over GF(3) with n=522, k=8 and d=315. This code was found by Heurico 1.16 in 8.97 seconds.