The generator matrix 1 0 0 1 1 1 1 1 1 1 1 X 2X 1 1 2X 1 1 X 0 1 1 1 1 X 1 1 1 1 X 2X 1 1 1 X 1 2X 1 1 1 1 2X X 1 1 1 1 1 1 1 1 1 X 1 1 2X 1 1 X 1 1 1 1 1 1 2X 1 0 1 2X 1 1 1 1 1 1 1 1 1 2X 1 0 0 1 X 1 1 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 1 X+2 1 0 2X+2 1 0 X+2 2X+1 2X 2X 1 2X+1 2 2 0 X 1 0 X 1 1 2X+1 1 X+2 2X 2X+2 X+1 X 1 2X 2X+2 2X+1 1 2X+1 2X+2 2 2X X 1 2X+2 1 1 0 1 1 X X+1 2X 1 2 2X 1 2X 1 X+2 1 2X+2 2X+1 2 X+2 0 2X+1 2 2 X 1 0 1 1 1 1 2X 2X+1 2X+1 0 0 1 1 2 2 X+2 1 2X 0 2X+1 2X+2 2X+1 1 2X+2 1 X 2X+1 2X 1 2X 2X 2X+2 2X+1 2 X+2 X 2X+1 X+1 1 X+1 X X+2 X+2 X X 2X+2 2X+2 2X X X+1 1 0 2X+2 2 2X+1 2X X+1 2X+1 2X+1 2X+1 X 0 X+2 2X+2 1 2X+1 X 2X+1 1 X+2 0 2X+2 X+2 2X+1 2 2X+2 X X+2 0 X+1 X 2X+1 2 0 2 2X+2 2X 0 2X+1 X+1 X+2 X X 0 2X+2 1 2X 0 0 0 2X 0 0 0 0 2X X X 0 2X 2X 2X X 2X 2X X 2X 0 2X X 2X 0 2X X 2X 2X 2X 2X 2X X X X X X 0 0 2X X 0 2X 2X 0 X X 2X X 2X 2X X 2X X X X 0 X 0 X 2X 0 0 X 0 2X 2X 2X X 0 X X X 2X 2X 0 0 0 0 X 0 0 0 2X 0 2X X X 0 0 0 0 X 0 2X 2X 2X 2X 0 0 2X X 2X 2X 2X 0 0 X 0 0 0 X 2X X 0 2X 0 X 2X X 0 X 2X X X X X 2X 2X 2X 0 2X 2X X 0 2X X 0 X 2X 2X X X 0 X 2X X 2X 2X 2X X 0 0 X 0 2X 2X 2X 0 2X 2X X 0 0 0 0 X X 2X 0 X X 0 0 0 0 0 0 0 0 0 2X X 2X 2X 2X 0 0 X X 0 0 2X X X 0 2X 2X 0 0 2X 0 2X X 2X X 0 X X 0 X 0 2X 2X X X X X X X 2X X 2X 0 0 0 X 0 0 2X X 2X X 2X 0 X 2X X X 0 0 2X 0 2X 0 X 2X X 2X 0 X X 0 X 0 2X 0 2X 2X 2X 0 2X X 0 generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 161. Homogenous weight enumerator: w(x)=1x^0+192x^161+182x^162+204x^163+492x^164+558x^165+360x^166+906x^167+762x^168+504x^169+1110x^170+770x^171+708x^172+1074x^173+958x^174+672x^175+1206x^176+928x^177+576x^178+1218x^179+788x^180+432x^181+1134x^182+742x^183+360x^184+636x^185+456x^186+318x^187+474x^188+228x^189+168x^190+216x^191+80x^192+66x^193+60x^194+28x^195+6x^196+30x^197+32x^198+16x^201+18x^204+2x^207+4x^210+4x^213+4x^216 The gray image is a linear code over GF(3) with n=264, k=9 and d=161. This code was found by Heurico 1.16 in 8.97 seconds.