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 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 9 9 18 18 18 9 18 9 9 9 18 18 0 18 0 9 18 9 9 9 0 9 18 0 18 18 18 0 9 18 18 0 0 0 0 9 0 0 0 0 0 0 0 0 9 9 18 9 0 9 18 18 18 0 0 9 9 18 9 9 18 0 18 18 9 0 9 9 0 18 0 18 0 9 18 18 0 0 0 0 0 0 9 0 0 0 0 9 18 18 18 18 18 9 0 9 18 0 0 0 18 18 9 0 18 9 0 0 9 9 0 18 18 9 18 0 9 0 9 18 9 0 0 0 9 0 0 0 0 9 0 0 9 18 0 18 18 9 9 9 18 9 9 0 18 9 18 18 18 9 0 18 9 18 9 9 0 9 9 0 18 9 9 9 9 0 0 9 18 9 18 0 0 0 0 0 9 0 18 18 9 0 18 18 9 18 18 9 18 18 9 18 9 18 18 0 9 9 18 18 0 9 9 18 9 18 18 9 0 18 9 18 0 18 9 9 18 0 0 0 0 0 0 9 18 18 18 18 9 0 9 9 0 0 9 18 9 9 9 9 0 18 18 0 9 18 0 0 9 9 0 18 9 9 0 0 9 9 18 9 0 18 9 generates a code of length 46 over Z27 who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+58x^75+128x^78+222x^81+222x^84+234x^87+486x^88+216x^90+1944x^91+13122x^92+222x^93+1944x^94+214x^96+218x^99+164x^102+156x^105+70x^108+36x^111+22x^114+2x^117+2x^132 The gray image is a code over GF(3) with n=414, k=9 and d=225. This code was found by Heurico 1.16 in 2.12 seconds.