The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 1 0 1 1 X 1 1 1 1 0 X 1 1 0 1 0 2X X 1 1 1 1 X 1 0 2X 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 X X 2X+2 X+1 1 2 X X 2X+2 1 1 2X+2 2X+1 1 2X+1 X 1 0 2 2X+1 2 X 2X 2X+1 2X 1 2X X+2 2X+1 0 2X+2 2X+1 1 1 1 1 X 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 0 X+2 2X 1 1 X+2 2X+2 X X+2 X+1 2 X+1 0 X+1 1 2X+1 X+1 1 0 1 X+2 2X+1 X 2X+1 1 2X+2 1 2X+1 0 2X+2 2 2 2X+2 2X+1 1 X+2 1 X 2X 0 0 0 2X 0 0 0 0 0 2X X X 2X X 2X X X 0 0 2X X 0 X X 2X X 0 2X 2X 0 X X 2X 0 0 X X 0 X 2X X X X 2X 2X 2X 2X X 0 2X 0 0 0 0 X X X 0 X 0 X 0 2X 0 2X X 0 X 2X X X 0 2X X 0 0 2X X 0 2X 2X X 2X X 0 X X X 0 0 0 2X X X 0 X 0 X 0 2X generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+162x^90+54x^91+186x^92+538x^93+312x^94+270x^95+668x^96+264x^97+300x^98+660x^99+228x^100+252x^101+612x^102+330x^103+138x^104+464x^105+144x^106+186x^107+322x^108+78x^109+102x^110+144x^111+42x^112+24x^113+56x^114+6x^115+14x^117+2x^120+2x^126 The gray image is a linear code over GF(3) with n=150, k=8 and d=90. This code was found by Heurico 1.16 in 0.462 seconds.