The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 X 1 1 1 0 1 1 2X 1 1 1 1 1 1 1 1 2X 1 1 2X 1 0 1 1 1 1 1 1 1 1 X 1 1 1 2X 1 1 1 1 1 0 1 1 X 1 0 1 1 2X 1 1 1 1 1 1 1 2X 1 2X 1 1 1 1 1 1 1 1 X 1 0 1 1 0 1 1 X 1 2X 1 1 X 2X 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 X+1 0 1 0 1 2X+1 2 X+2 1 2X+1 0 1 X 2X+1 2 X+1 0 2 2X+1 X+2 1 2X 1 1 2X+2 1 X 2 1 X+2 X+1 X+2 2X 2X+1 1 1 X 1 1 2X+2 2X+1 0 2 2X 1 X 0 1 X+2 1 2X+2 2X+1 1 0 2X+1 X+2 X+2 2 2X X 1 2X+1 1 X X+1 X+1 2X+1 1 2X+2 X+2 X 1 X+2 1 2X+2 2X+2 1 X+2 2X 1 X 1 0 2X+2 X 1 0 0 2X 0 0 0 0 0 0 0 2X X X X X 0 2X 0 2X X X X 2X 0 X 2X 0 X 2X 0 X 2X 0 0 2X X 2X 2X X 2X X X 0 X 2X 2X X 2X 2X 2X X X 0 X 0 0 0 0 X X X 2X X 2X 2X X 2X X X 0 0 0 X X X X 2X X X 2X 0 X 0 0 0 0 0 0 X X 2X 0 0 0 2X 0 X X 0 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X X 2X X 2X 2X 0 X 2X 0 0 0 2X 2X 2X 2X 0 0 X 2X 0 0 X 2X 2X 2X 2X X 0 2X X X X 2X 2X X 0 2X 2X 0 0 0 2X 2X X 2X 0 0 2X 0 0 X 2X 0 0 0 2X X 2X X 2X 2X 0 X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 X 0 2X X 2X 0 X 2X 0 0 0 0 X 0 X X X X X 2X 0 X 0 0 X 2X 0 2X X X 2X X 0 2X 2X 0 X 2X 0 0 2X 2X X 2X 0 X 0 0 X 0 2X 0 X 2X 0 0 2X 2X X 2X X X 0 0 X 0 2X 2X 2X 0 2X X 2X X 0 0 2X X 0 0 2X 2X 2X X 0 X X X X X 0 0 2X X X 2X 2X 2X 0 0 X 0 2X X 2X 0 2X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X 2X 2X 0 X 2X 0 0 X 2X X X X X 0 2X 2X 0 2X 2X 2X 0 2X X 2X 2X 0 2X 2X X 0 X 0 X X 0 X 2X X 2X 0 0 0 0 2X X 0 2X X 2X 2X X 0 0 X 2X 0 X 2X 0 X 2X 0 0 0 0 X X X 0 X 0 X 0 0 X X 0 X 0 2X 2X 0 X generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 184. Homogenous weight enumerator: w(x)=1x^0+180x^184+202x^186+240x^187+246x^189+438x^190+288x^192+636x^193+314x^195+600x^196+276x^198+708x^199+290x^201+468x^202+174x^204+522x^205+170x^207+342x^208+100x^210+174x^211+42x^213+42x^214+20x^216+24x^217+16x^219+18x^222+8x^225+2x^228+6x^234+6x^237+2x^240+2x^243+4x^249 The gray image is a linear code over GF(3) with n=297, k=8 and d=184. This code was found by Heurico 1.16 in 4.75 seconds.