The generator matrix 1 0 0 0 0 1 1 1 2X 0 2X 2X X X 1 1 0 X 1 1 1 1 1 1 1 1 1 2X X 1 0 1 1 1 0 1 1 1 1 2X 1 1 0 0 1 1 1 1 1 1 2X 1 1 1 X 2X 1 1 1 1 1 1 1 1 2X 1 1 1 1 X X 1 1 1 X 1 0 1 X 1 1 X 2X 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 2X X 2X 2X 2 2X+1 2 X 2 2X+2 0 X+2 2X+2 1 1 2 1 2X+2 2X+1 2X 1 1 X+1 X+2 2X+1 1 1 X+1 0 1 X 1 2X 2X 1 X+2 X 2X+2 2X X 1 1 2 0 0 2 X+2 X+2 2X+2 2X+2 1 X+1 2X X+1 2 0 1 1 2 2X 2X X+2 X 2X 1 2X+2 X+1 1 1 0 X 2 0 2X 0 0 1 0 0 0 1 2X+1 1 1 2X 2X+1 2X+2 2X+2 2 2 1 1 1 1 X 2X+1 2X+1 X X 2X X+1 1 X+1 0 1 2X+1 X+1 X X+1 2 X 0 1 X+2 0 X+2 1 2X+2 0 2X+2 X+1 X+2 X+1 X+2 1 X+1 2X+2 2X 2X+1 2X 2X+1 X 1 2X+2 1 2 X X 2 X+1 2 2X+2 2X+1 1 2 0 2X+1 X 2X 2X+1 0 X+2 2X+2 0 1 X 2X+1 1 1 2 1 2X 0 0 0 1 0 1 1 2X+2 X+1 X+1 2X+1 X+2 X 2X+2 0 2X+2 2X+1 X+2 2X+1 2 X X 0 X+1 X+2 X X+1 X+1 X X+2 X+2 X 1 X+2 0 1 2X X 2X+1 X 2X+1 2 X 2X+1 X+2 X+2 0 X+1 X+2 X+1 2 2X+1 2 2X+1 2X 1 2 X X+2 2X+1 1 X+2 2X X 0 2X+2 2X 2X 2X+1 0 X+2 X+1 2X X 1 2X+1 1 1 0 2X+2 X+1 0 X+2 2X X+2 2 2X+2 2X+1 0 0 0 0 1 2 X 2X+2 2 X X+2 2 2X+2 0 2 X 1 0 2 X 2X+2 2X+2 0 1 X+2 1 2X+1 X+2 2X 2X 1 2X+1 2X+2 2X+1 2X+1 X 2 X X+1 X+1 2X+1 1 X+2 1 2X+1 2X+2 X+2 X+1 2X+2 0 2X+2 2X 2X+1 X+1 2 X+1 X+2 2X+2 0 2X+1 2X+2 X+2 2X X+2 X+1 1 X X X+1 1 X+2 2X+2 X+2 2X X+2 0 2X+1 0 2X 1 X X+2 1 X+1 X+2 2X+2 0 2X 0 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 0 X X 2X X 0 0 0 X 0 X 2X 2X 0 2X 2X X 2X 2X X 0 2X 0 2X 2X X 2X 0 0 0 X 2X X X 0 2X 0 2X X 2X X X X 2X 0 0 X X X X X X X X 0 0 X X 2X 0 0 0 0 2X 2X X X X generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+606x^156+3266x^159+6350x^162+10358x^165+15966x^168+20842x^171+24614x^174+26484x^177+25068x^180+19972x^183+12804x^186+6830x^189+2836x^192+870x^195+218x^198+40x^201+6x^204+6x^207+2x^210+4x^213+4x^216 The gray image is a linear code over GF(3) with n=264, k=11 and d=156. This code was found by Heurico 1.16 in 727 seconds.