The generator matrix 1 0 0 1 1 1 1 1 0 1 1 1 2X 1 1 1 1 1 0 1 2X X 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 2 1 2 1 0 2X+1 2X+2 1 2X 2 1 0 X+1 0 1 1 1 2X+2 X 2X+2 1 2X+2 2 2 1 0 X+1 0 0 0 1 2 1 2 1 0 2 2 2X 2X+1 2X+1 2X+1 X 1 2 2 1 X 1 X 1 0 2 0 2X 2X+2 1 2X 2X+1 1 0 0 0 0 2X 0 0 0 0 0 0 2X X X X 2X 2X 2X X X 2X 0 0 X 2X X 2X 0 0 2X X 2X 0 0 0 0 0 0 2X 0 0 0 X X 2X 2X X 2X 2X 0 X 2X X 0 X X X X 2X 2X 2X 2X X 2X 0 2X 0 0 0 0 0 0 X 0 X X 0 X 2X 2X 2X 0 0 2X X 0 2X 0 X 2X 0 X 2X 2X X 2X X 2X 2X X 0 0 0 0 0 0 X 2X X X 2X 0 X 2X X 2X 0 0 X 2X 0 0 0 X X X X X X 2X X X 0 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+80x^51+18x^52+240x^53+362x^54+210x^55+840x^56+902x^57+666x^58+2196x^59+1998x^60+1656x^61+4164x^62+3788x^63+3252x^64+6474x^65+4882x^66+3510x^67+6084x^68+4386x^69+2646x^70+4344x^71+2288x^72+1020x^73+1596x^74+730x^75+144x^76+306x^77+166x^78+68x^81+20x^84+12x^87 The gray image is a linear code over GF(3) with n=99, k=10 and d=51. This code was found by Heurico 1.16 in 18.3 seconds.