The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 X 1 1 1 1 1 1 0 0 1 2X 1 1 1 1 1 2X 1 0 1 1 1 1 0 1 0 1 1 X 0 1 1 1 2X 1 1 1 2X 1 1 0 1 0 0 1 1 X 0 2X 1 1 1 X 1 X 2X 1 1 1 1 1 2X 2X 1 1 2X 0 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 1 X 2X+1 1 2X+1 2X 2X+2 0 1 2X+2 1 2 2X 2 2X+1 2X 1 2 X X+1 2X+1 X X+1 1 X+1 1 X 2X+1 1 1 1 X+1 2X+2 0 0 2 0 1 1 1 1 2 0 1 2X+2 0 1 1 X 2X 2X X+1 1 1 X 1 X+1 1 X+2 1 2X+1 1 1 2X+1 2 1 1 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 X+2 X+2 2X+2 2X+1 0 X+1 2X 1 0 2X+2 2X X+1 2X+2 2X+2 2X 2X 2X+1 2X+2 1 2 1 1 0 X+1 X X 0 X+1 2 X+2 2 1 X+1 1 2X 2X+2 2X+1 X+2 1 2 0 X+2 1 2 2X+2 X+2 1 2X+1 1 X+1 1 X X+1 X+2 1 2X+1 X 0 X+1 0 0 X+2 2X 2X+1 2X 2X+2 X+1 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 2X 0 X 2X 2X 2X 0 2X 2X 0 X X X 0 2X X X X 0 X 0 X X 0 X 2X 2X 2X 2X 2X 2X X 0 X X 2X 2X 0 X 2X X 2X X 2X X 2X X 2X X X 0 2X X 0 2X 0 2X X X 2X 0 2X 0 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 2X 2X 0 0 X X X 2X 2X 0 X X X 2X 2X 0 2X 0 X 2X X 0 X X 2X 2X 2X 0 0 X 2X X 2X X X X 2X X X 2X 0 2X 0 0 0 0 0 X X 2X X 0 X X 2X 0 X X X 0 0 X 2X 2X 2X X X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 X 0 X 2X X 0 X 2X X X 2X 0 0 2X 0 X X X 0 X X 0 2X X X 0 0 2X X 2X 0 X 2X 0 X X 2X 0 0 0 2X 0 X 2X X X 2X 2X 2X X X 0 X 0 2X 2X X 0 0 2X 0 0 0 0 0 2X generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 151. Homogenous weight enumerator: w(x)=1x^0+210x^151+204x^152+126x^153+426x^154+648x^155+212x^156+792x^157+936x^158+310x^159+1056x^160+1140x^161+310x^162+1170x^163+1392x^164+278x^165+1428x^166+1254x^167+210x^168+1290x^169+1008x^170+276x^171+1098x^172+1020x^173+190x^174+594x^175+630x^176+116x^177+390x^178+396x^179+66x^180+216x^181+72x^182+24x^183+48x^184+42x^185+24x^186+24x^187+6x^188+18x^189+6x^190+12x^192+4x^195+2x^198+4x^201+2x^204+2x^207 The gray image is a linear code over GF(3) with n=249, k=9 and d=151. This code was found by Heurico 1.16 in 37.1 seconds.