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 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 18 9 0 9 9 9 9 0 18 9 0 9 0 9 9 9 9 9 18 0 0 9 9 18 0 18 9 0 18 18 0 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 18 9 9 18 0 9 9 18 0 9 0 0 18 18 9 9 18 0 18 0 9 9 18 0 0 9 9 9 0 18 0 18 0 0 18 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 0 18 9 18 18 0 0 18 0 9 9 18 0 0 9 9 9 0 18 18 9 9 18 9 0 0 18 18 9 18 9 18 9 0 18 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 0 18 9 0 0 0 18 9 18 18 0 0 18 9 18 9 0 18 18 0 18 18 0 9 0 18 18 0 18 18 0 18 9 18 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 0 0 18 0 9 0 9 18 9 9 9 9 9 18 18 18 0 9 0 0 9 9 0 9 0 18 18 9 0 0 0 18 18 0 9 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 18 9 18 18 0 18 9 0 18 9 9 18 9 18 9 0 0 18 9 18 9 9 0 0 0 9 0 18 18 18 9 9 18 18 18 generates a code of length 53 over Z27 who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+114x^90+206x^93+216x^96+222x^99+162x^100+192x^102+972x^103+210x^105+15066x^106+200x^108+1296x^109+212x^111+196x^114+144x^117+126x^120+68x^123+48x^126+20x^129+10x^132+2x^150 The gray image is a code over GF(3) with n=477, k=9 and d=270. This code was found by Heurico 1.16 in 2.6 seconds.