The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 1 0 X 1 X 1 1 0 1 1 2X 1 X 1 2X 1 1 1 1 1 2X 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 X+1 1 2X+1 X 0 1 X X+2 1 2X+2 0 1 X+2 2X 1 1 2X 0 1 X+2 2 2X+1 X 1 1 X+2 2 2 1 0 2 1 1 2 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X+1 2 2X+2 X+2 2X+1 X+1 2X+2 1 2 2X+2 2X+1 X+1 1 X+2 2 X+1 X+2 1 2X+1 X+1 2X X+1 2X+2 X+2 1 X 0 0 2 2X+2 2 X+1 0 X+2 2X 2X+2 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 X 2X+2 1 2X+1 2X+2 2X 2X 2X+1 X+1 X+2 2 1 0 2X X+1 X+2 2X+1 2 2 2 X X+1 2 X+1 X+1 0 2 2X+2 2X X+2 0 X+1 2 X 2X+2 2X+2 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 0 2X 0 2X+1 2X+2 1 2 2X X+2 2 2X+1 X X+1 X+1 2 2X X 2X+2 1 X+1 2 2X 2X+2 1 0 1 1 2X 2 2X+1 0 2 X 0 X 2X+2 generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+492x^92+450x^93+2016x^95+1200x^96+3648x^98+2108x^99+4968x^101+2916x^102+6576x^104+3552x^105+7530x^107+3646x^108+6900x^110+3038x^111+4512x^113+1890x^114+2100x^116+694x^117+492x^119+182x^120+126x^122+6x^125+2x^126+2x^129+2x^135 The gray image is a linear code over GF(3) with n=159, k=10 and d=92. This code was found by Heurico 1.16 in 68.7 seconds.