The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 0 1 1 X 1 0 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+1 2 0 2 X+2 2X+1 2X+1 X+2 1 2X+2 1 1 X+1 1 1 X+2 X+1 X+2 X 2X+2 0 2X 2X 1 1 X+1 1 2 2X+2 2X+1 1 1 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X X X 0 2X 2X X 2X X 0 2X 0 2X 0 2X 2X 0 0 2X 2X X X 2X X 0 0 2X 2X 2X X X X X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 2X X 0 X 0 0 2X 2X X X 0 2X 2X 0 0 X 2X 0 X 0 2X X 0 2X X X 2X 0 2X 0 X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 2X X X 2X 0 0 0 X X X X 0 0 2X 0 0 X 0 X 0 2X 2X X 2X X 2X 0 2X 0 generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+150x^92+140x^93+282x^95+124x^96+288x^98+146x^99+210x^101+130x^102+330x^104+102x^105+126x^107+54x^108+54x^110+12x^111+18x^113+6x^114+4x^117+4x^120+2x^123+2x^126+2x^129 The gray image is a linear code over GF(3) with n=150, k=7 and d=92. This code was found by Heurico 1.16 in 5.49 seconds.