The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 2X 1 1 0 1 1 X 1 X 1 1 1 1 1 1 1 1 X X 1 2X 1 2X 1 1 1 X 1 1 1 1 0 1 2X 1 1 1 1 1 0 1 2X 1 1 1 1 1 0 0 1 2X 1 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 0 1 2 2X+1 2 X 1 1 2X 1 X+2 2X 2X+1 1 2X+1 X 1 1 2X 1 2 1 0 2X+1 2X+2 X+1 2X+2 X X+2 0 1 1 2 1 X+2 1 X+2 X+1 1 1 2X+2 X+1 2X+1 2X+2 1 1 1 X+1 2 2X+1 2 2X+2 1 X+1 1 X X+1 1 1 2 1 1 2X 1 0 2X+1 X 0 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 2X X 0 2X X 2X 0 X X 2X X 2X 0 0 X X X X 0 X X 2X 2X 2X X 2X X 2X 0 X 0 2X X X 0 2X X 2X 0 0 2X 0 2X 0 X X 0 2X 0 2X 0 2X X 2X X 0 X X 0 0 2X 0 0 X X 0 2X 0 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 0 2X 2X 2X X X 0 X 0 X 0 2X X 2X 0 2X X X X X 2X 2X 2X X X 0 X 0 X X 0 2X 0 X 2X X X 0 X X 2X X 0 2X 0 X X 2X 0 0 0 0 0 2X X X 2X 2X 2X X X X 0 2X 0 0 X X 0 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 X 0 0 X 2X 2X 2X 2X X 2X 0 X X X 2X 2X X 0 2X X 0 0 2X 0 2X X 2X 2X 2X 0 2X X 2X 0 X 0 X 2X 0 0 X 0 0 2X 0 X 2X 0 X X 0 2X X 2X 2X 0 0 0 X X 2X X 2X 0 0 0 2X X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 0 0 X 0 0 2X 2X 2X 2X 2X X X X 2X X X 0 2X X 0 2X 0 0 0 0 2X 2X X 0 X X 0 X 2X X 0 2X 0 0 X X X 2X 0 2X X 0 2X X X 0 2X 2X 2X 0 0 2X X X 0 2X 0 2X 2X 2X 2X 0 2X generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+42x^162+258x^164+200x^165+432x^167+262x^168+570x^170+270x^171+630x^173+336x^174+636x^176+278x^177+570x^179+342x^180+648x^182+226x^183+384x^185+76x^186+156x^188+52x^189+84x^191+28x^192+6x^194+16x^195+10x^198+12x^201+12x^204+10x^207+8x^210+4x^213+2x^216 The gray image is a linear code over GF(3) with n=264, k=8 and d=162. This code was found by Heurico 1.16 in 1.12 seconds.