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 X X 0 1 1 0 X 2X 0 X+3 2X X+3 2X+6 0 6 0 6 X+3 2X 6 X+3 X+6 2X+6 X 6 X 3 X 2X 2X+6 2X+6 2X+3 0 0 6 6 X+3 X+3 X+6 X X X 0 3 X+3 6 X+6 3 X+3 2X X 0 X+3 0 0 6 0 6 0 3 3 6 3 6 3 3 0 0 6 0 6 6 6 3 3 0 6 3 0 3 0 6 6 0 3 6 0 0 3 6 3 0 0 6 6 0 3 0 6 3 3 0 0 0 6 3 6 6 3 3 6 0 3 3 0 3 0 3 6 6 6 0 0 6 3 6 3 0 3 6 0 0 0 6 0 3 6 3 0 6 6 3 0 0 3 6 6 3 3 generates a code of length 48 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+68x^90+254x^93+486x^94+168x^96+972x^97+104x^99+112x^102+18x^105+2x^117+2x^135 The gray image is a code over GF(3) with n=432, k=7 and d=270. This code was found by Heurico 1.16 in 0.0591 seconds.