The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 X^2 1 1 1 0 X 2X 0 2X^2+X 2X X^2+2X X^2 2X^2+X 2X^2+X 0 2X 2X^2+X 0 2X X^2+2X 2X^2 X^2+X 2X^2+X 0 X^2 X^2+X 0 2X^2+X 2X X^2+2X X^2+2X X^2+X 2X^2 2X^2+2X X X^2+2X 2X^2 X^2+X 2X^2 X^2+2X 2X 2X^2+X 2X^2+X 0 X^2+2X 2X 2X X^2+X X^2 X X^2 2X^2 X^2+X 2X 0 0 X^2 0 0 0 2X^2 0 2X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 2X^2 2X^2 X^2 0 2X^2 X^2 X^2 2X^2 0 X^2 X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 0 0 2X^2 0 X^2 X^2 X^2 0 X^2 0 2X^2 2X^2 2X^2 0 X^2 0 0 0 X^2 0 X^2 2X^2 2X^2 2X^2 X^2 0 2X^2 0 2X^2 2X^2 2X^2 0 2X^2 0 0 2X^2 X^2 2X^2 0 X^2 0 2X^2 2X^2 0 X^2 0 2X^2 0 X^2 X^2 X^2 0 2X^2 2X^2 X^2 0 2X^2 X^2 X^2 2X^2 0 2X^2 2X^2 0 X^2 0 0 0 0 2X^2 2X^2 X^2 0 2X^2 X^2 2X^2 2X^2 0 0 2X^2 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 2X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 2X^2 0 X^2 0 X^2 2X^2 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+204x^92+50x^93+306x^95+598x^96+252x^98+2208x^99+240x^101+2182x^102+150x^104+22x^105+156x^107+8x^108+78x^110+16x^111+66x^113+10x^114+6x^116+4x^117+2x^120+2x^144 The gray image is a linear code over GF(3) with n=450, k=8 and d=276. This code was found by Heurico 1.16 in 55.1 seconds.