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 X 1 X 1 1 X 1 1 1 1 1 1 X 1 X 1 0 X 0 0 2X X+6 2X+6 X 2X X+6 6 0 X+6 3 2X 2X X+6 2X+3 0 X+6 X+3 2X+3 2X+6 0 3 3 6 X+3 2X 0 6 X+6 X+6 2X 2X+6 2X+3 0 2X+3 2X+3 2X X X+6 X+3 2X+3 2X+6 X+3 X X+3 X 3 0 0 X 2X 0 2X+3 X+3 X 2X+3 2X+6 X 6 X+3 2X+3 X+3 3 6 2X+3 6 6 X 2X+3 0 2X+6 X+3 X+6 X X X+6 6 2X+6 3 2X+3 2X X 2X+3 X+6 X+3 X 2X+3 0 X+3 6 X+3 X 2X X 2X+6 X+6 X+3 0 0 0 3 0 0 6 0 0 3 6 3 6 6 3 3 0 0 3 6 0 6 3 0 3 0 6 3 3 0 3 0 6 6 6 6 0 3 6 0 6 3 3 0 0 3 6 6 0 6 0 0 0 0 3 6 0 3 6 0 6 3 0 0 0 0 3 3 6 6 6 0 6 6 6 6 3 0 6 6 3 6 6 3 3 6 6 3 3 0 0 3 6 3 6 6 6 0 6 6 generates a code of length 50 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+144x^90+162x^91+192x^92+506x^93+234x^94+414x^95+1332x^96+234x^97+2184x^98+3290x^99+1680x^100+3702x^101+3264x^102+222x^103+516x^104+450x^105+240x^106+210x^107+254x^108+102x^109+66x^110+168x^111+30x^112+6x^113+54x^114+12x^115+8x^117+4x^120+2x^135 The gray image is a code over GF(3) with n=450, k=9 and d=270. This code was found by Heurico 1.16 in 1.55 seconds.