The generator matrix 1 0 0 0 1 1 1 1 1 0 1 1 1 1 2X 1 1 1 1 0 2X 1 1 2X 1 1 1 1 1 0 1 2X 1 X 1 1 X 0 1 1 0 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 2X X 1 1 1 1 1 X 2X 1 1 1 1 1 1 2X 1 1 1 X 0 X 2X 1 1 1 0 0 1 0 0 0 0 2X 2X 0 2X 2X 2X+2 X+1 X+1 1 2X+1 2X+1 2X+1 X+1 1 1 X+2 X 1 2 2X+2 2 2 X+1 1 2 0 2X+1 1 2 X 1 0 X+1 1 2X 2X+2 X 2X+2 1 1 0 1 2X+1 2X+2 X X 2 2X+1 X+1 0 X+1 2X 1 2X 2X 2X+2 1 X+1 1 1 1 2X 2X+1 2X+2 X 2 1 0 X 2 1 1 1 1 2X+1 0 2 1 0 0 1 0 0 X 2X+1 2 2X+1 1 X+2 X+1 2X X+1 2X+2 2X+2 X X+2 2X+1 X 0 2X+2 1 2X+1 X+1 2X 2X+2 1 2 X+2 0 1 2X X+1 X X+2 X+1 1 2X+2 2X+1 1 2X+2 1 X+2 2X+1 X 2 2X+2 2 2X+1 0 2 2 X 1 2X+1 2X+1 1 2X 1 X+2 0 X X+2 X+1 X+2 0 X 2X 0 X+2 2X+1 2 2X+2 0 2X+1 X+2 0 X+1 X 2X+2 2 X+2 1 0 0 0 1 1 2X+2 2X 0 X+1 1 2X+2 2 2X+1 X+1 2X+2 X 2 X+2 0 2 1 2 2 1 X X+2 X 2X+1 X+1 1 1 2 2X+2 2X 2X X+2 2 2 1 2 0 2X 2X+2 X+1 2X+1 X+2 2X+1 1 0 2 X+1 0 2X+2 2X+1 X X X+2 1 X+1 2X+1 2X+1 0 X+1 2X+2 X 2 2X X+2 2X X+1 0 X+1 X X 2X+2 2 2X 2X 0 1 2X 2 2X+2 X 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 2X 2X 2X 0 X 0 X 2X X X 0 X X 2X 0 X 0 X X X 2X 2X 0 X 2X X 0 0 0 2X X 0 X 0 X 0 2X 0 0 X 0 X 0 X 0 0 X 0 0 2X 0 X X 2X 2X 0 0 X 2X X 2X 2X 0 2X 0 X 0 X generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+162x^154+318x^155+300x^156+504x^157+750x^158+552x^159+936x^160+894x^161+674x^162+900x^163+1008x^164+792x^165+1206x^166+966x^167+742x^168+942x^169+984x^170+630x^171+870x^172+792x^173+570x^174+750x^175+708x^176+370x^177+516x^178+474x^179+272x^180+294x^181+252x^182+154x^183+150x^184+114x^185+26x^186+54x^187+24x^188+12x^189+6x^190+6x^191+2x^192+2x^195+4x^198 The gray image is a linear code over GF(3) with n=252, k=9 and d=154. This code was found by Heurico 1.16 in 8.27 seconds.