The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X 2X 2X X 2X X X 0 X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X 0 X 2X 2X 0 X 2X 2X X 0 2X 2X 0 0 X 0 0 0 X 0 0 0 0 0 0 X X X X 2X 2X 2X 0 0 2X 0 0 X 2X X X 2X X 0 2X X X 2X 0 0 0 0 X 0 0 0 0 X 2X X 2X X 0 2X X 0 2X X X 2X 2X 2X 2X 2X 2X 0 X 2X 2X 2X 2X 0 0 0 0 0 X 0 0 0 2X 2X 0 X X X X 0 0 2X 0 X 2X X 2X 0 2X 0 X 0 X 2X 2X 2X 0 0 0 0 0 0 X 0 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 2X 0 0 2X X 0 0 2X X 0 0 X X 0 0 0 0 0 0 0 X 0 2X 2X 2X 0 0 X 0 2X X X 2X 0 0 X X 0 2X 2X 2X X X 2X X X 0 0 0 0 0 0 0 0 X 2X X X 2X 0 X X X 2X 2X 0 2X 2X 0 X X 2X 2X 2X 0 X X X 0 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+120x^45+358x^48+662x^51+978x^54+1462x^57+3472x^60+11192x^63+20422x^66+14590x^69+2322x^72+1676x^75+958x^78+512x^81+212x^84+80x^87+22x^90+8x^93+2x^96 The gray image is a linear code over GF(3) with n=99, k=10 and d=45. This code was found by Heurico 1.16 in 31.7 seconds.