The generator matrix 1 0 0 0 0 1 1 1 1 0 X 1 1 X 1 1 1 1 1 X 1 2X 1 X 1 1 0 1 1 1 X 1 1 0 1 0 0 0 0 2X 1 2X+1 1 1 1 2 1 2X 2 2X+1 2X+2 2X+2 1 X X 2X+1 1 X X 1 1 2X 1 1 2 0 0 0 1 0 0 0 2X+1 1 2X+2 X 2X+1 X+2 1 2X+2 2 X+2 2X X+2 0 2X 0 1 0 2X+1 2 X+2 X 2X 1 2X+1 X 2 0 0 0 0 1 0 1 2X+2 X X+2 2X+2 2X+1 X+1 2X+1 2X+1 2X+1 1 2 X+2 2X 1 2X 2X+2 X+1 2X 2X X+2 1 1 X+1 X+1 X+2 X+1 2X 0 0 0 0 1 2 2X+2 2X+2 X 2 2X+2 2X 1 X 1 2X 2X 2 2X+2 2X 2X+1 2X+1 2X+2 X X 2 X+2 1 X+1 X+1 2X+2 X+2 0 0 0 0 0 0 2X X 0 X X 2X 2X X 0 0 X 0 0 2X X X 2X X X 0 2X 0 0 X 2X 0 2X 2X 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+108x^51+216x^52+342x^53+1464x^54+960x^55+1296x^56+4472x^57+2514x^58+3078x^59+9930x^60+5352x^61+6126x^62+19438x^63+8322x^64+9852x^65+24582x^66+9660x^67+9834x^68+22460x^69+7620x^70+6222x^71+11902x^72+3570x^73+2136x^74+3444x^75+1002x^76+426x^77+548x^78+150x^79+54x^80+54x^81+10x^84+2x^87 The gray image is a linear code over GF(3) with n=99, k=11 and d=51. This code was found by Heurico 1.16 in 193 seconds.