The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X 0 2X 1 1 1 1 1 0 X X 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 2X 1 X 1 1 1 X 1 1 1 X 1 0 1 1 1 1 1 1 0 0 1 X X X 1 1 1 0 1 1 1 1 1 X 1 1 1 1 1 2X 1 1 1 1 1 X 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 1 2 0 2X+1 X+2 X 1 0 1 X+1 X 2X+1 2 X X X+2 2X+2 1 1 1 1 1 2X X+2 X 2X 2X 2 1 2X+1 X+2 0 1 X+1 X+1 1 1 X+2 X 2X 0 X+2 2X+2 X X+2 1 1 2X+2 X 1 1 2X X 2X+2 2X 2X+1 2 X+1 2 X+2 1 2 2 0 2 0 1 2X+1 2 2 2X+1 2 1 X+1 0 0 1 1 2 2 X+2 X+1 2X 0 2X+1 2X+1 2 X+1 X 0 0 X+1 2X+2 X 1 2 X+1 1 X+2 2X+2 1 X X X+1 2X+1 X+2 2X X 2X+2 2X+1 2X+2 2 2 1 2X+1 2X+1 0 X 2X+1 1 X+2 2X+1 X 2X+1 2 1 0 2X X+2 2 2 2X+1 2X+2 1 2X 1 X+2 2X 2X 2X+2 2 1 1 1 X 2 X+1 2X+1 2X+2 2X 1 1 X+2 X 2X+1 1 2X X+1 2X+2 X+2 X+1 0 0 0 2X 0 0 0 2X X X X 0 X 2X 2X 2X 0 2X X X X 0 0 X X 2X 0 X 2X X X 2X 0 2X X 0 X 0 2X 0 X 0 0 X 2X 2X 2X 0 X 2X 2X X 0 0 X 0 2X 0 0 0 X X X 2X 0 0 2X X 2X 2X 0 2X 0 X 2X 2X X X X X X X 2X 2X 2X 2X 2X 0 0 0 0 X 0 2X 0 0 0 0 2X X X X 2X 2X X 2X 2X X 0 2X X 0 0 0 X 2X 2X 2X 2X 0 0 0 0 2X X 0 X 0 X X 2X X 0 2X X X 2X X 2X X 0 2X 0 0 X X X 0 2X 0 2X 2X 0 2X 0 X 0 2X 2X 2X 2X 0 2X 2X 2X X 0 X X 0 0 2X X 0 0 0 0 0 0 2X X 0 0 2X 2X X 2X 0 X X X X 2X 0 X X 2X 2X X X X 0 0 X 0 X 2X X 0 0 0 2X 0 X 0 X X 2X 0 0 0 X X 2X 0 2X 2X 2X X X 2X 2X X 2X 0 0 X 2X 0 X X 2X X X 0 0 X X 2X X 0 2X 2X X 2X 0 0 2X X 2X 2X generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+238x^159+186x^160+192x^161+378x^162+654x^163+354x^164+684x^165+1014x^166+510x^167+780x^168+1170x^169+666x^170+850x^171+1212x^172+696x^173+830x^174+1230x^175+564x^176+894x^177+1188x^178+498x^179+670x^180+1038x^181+414x^182+576x^183+534x^184+318x^185+322x^186+306x^187+96x^188+212x^189+174x^190+48x^191+62x^192+30x^193+12x^194+26x^195+12x^196+6x^197+16x^198+6x^201+8x^204+4x^207+2x^210+2x^216 The gray image is a linear code over GF(3) with n=261, k=9 and d=159. This code was found by Heurico 1.16 in 8.86 seconds.