The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 1 X 1 1 1 0 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 1 0 1 0 2 2 1 X X+2 1 2X+1 X+2 X+1 2X+1 0 1 X X 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X X 2X X 2X X X X 2X 2X X X 2X 0 2X 0 2X 0 0 0 0 0 X 0 0 0 X 2X X 0 X 2X 2X 0 2X 2X X 0 2X X 2X 0 X 0 2X 2X X 2X 0 X 0 X 0 0 0 0 X 0 X X X X X 0 2X X 0 X 2X 2X 0 0 2X 2X X 0 0 0 X 0 X X X 2X 2X 0 0 0 0 0 2X 2X 0 2X X 0 2X 0 X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 0 2X X 0 2X 0 0 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+42x^54+30x^55+48x^56+86x^57+162x^58+252x^59+126x^60+360x^61+450x^62+92x^63+750x^64+768x^65+84x^66+774x^67+828x^68+84x^69+612x^70+468x^71+70x^72+192x^73+102x^74+72x^75+36x^76+36x^78+18x^81+10x^84+6x^87+2x^90 The gray image is a linear code over GF(3) with n=99, k=8 and d=54. This code was found by Heurico 1.16 in 0.297 seconds.