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 X 1 1 1 1 1 X X 0 1 1 1 1 0 X 0 0 0 2X 6 3 0 6 3 X 2X+3 2X X+3 X+6 X+3 2X+3 2X+6 2X X+6 2X X+3 2X+6 X+3 2X X+6 0 X+3 X+3 X+3 X 2X 3 3 0 2X X X 3 2X+6 0 0 0 X 0 6 3 2X+3 X+3 2X+6 X+3 2X+6 X X 2X+3 3 X+3 X+3 6 6 X 2X+6 2X+6 2X 2X+6 6 X 2X 2X 2X+6 0 2X+6 0 2X+6 0 6 X 6 2X+6 3 X+3 3 X+6 0 0 0 X 2X+3 0 3 2X+6 X+3 X+3 2X 2X+3 6 6 2X+6 X+3 3 2X+3 X+6 2X 0 X+6 X 2X X+3 X 2X 2X+6 3 6 X+6 2X 0 X+6 2X X+6 2X+3 6 6 X+3 2X+3 X+6 generates a code of length 42 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+238x^75+204x^76+210x^77+636x^78+216x^79+828x^80+990x^81+1722x^82+2208x^83+4334x^84+3168x^85+2220x^86+1022x^87+312x^88+186x^89+494x^90+132x^91+132x^92+234x^93+66x^94+36x^95+68x^96+12x^97+12x^98+2x^114 The gray image is a code over GF(3) with n=378, k=9 and d=225. This code was found by Heurico 1.16 in 1.16 seconds.