The generator matrix 1 0 0 0 0 1 1 1 2X 0 2X 2X X X 1 1 1 X X 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 2X 1 X 1 1 1 1 X 1 0 1 1 X 1 1 0 1 0 X X 1 1 1 1 0 1 1 1 1 1 X X X 1 0 2X 1 2X 1 1 1 X 1 1 1 2X 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 2X X X+2 X 2X 2X 2X 2 1 1 2 X+1 2X 2X 0 0 X+1 1 X+2 2 2X+1 1 0 1 X+1 X+2 2X 2X+2 1 X+1 1 X+2 2X 2X 2X X+2 1 1 1 1 1 2X+2 1 2 2X+1 1 X+2 2X X+2 2 X+2 1 0 1 X 0 X 2 1 1 2 2X+1 2X 2 X 1 0 1 2X X+1 2X 0 0 1 0 0 0 1 2X+1 1 1 2X 2X+1 2X+2 2X+2 2 2 X+1 1 1 1 0 X+2 X 2X 0 2X 2X+2 2X 2X X+1 2X+1 0 2X 2X+2 2X+2 2X+2 X+1 X+1 2X+2 X+2 0 2 2X+1 X+2 2X+2 2X+2 2 1 0 X 2X+1 2X+2 2X 1 1 2 0 X 1 X+2 2X+1 X 2 2X 1 2X+1 2X 2X+1 X+1 1 1 2X 0 0 2X+1 1 1 0 0 X+1 1 2X+1 1 X 2X+2 0 0 0 1 0 1 1 2X+2 X+1 X+1 2X+1 X+2 X 2X+2 0 2X+2 X+1 1 X+2 X 1 1 0 X+1 2 2X+2 2 2X 2 2X+1 2 X+2 X+2 1 2X+2 X 2 X+1 X X 2X+2 X+2 2X+2 0 1 2 1 2X 2X+1 0 X 2X+2 1 1 0 X+1 X+2 2X 2X X+1 X 2X+1 1 0 2X+2 X+2 1 0 2X+2 1 2 2 2 X X+2 2 2 1 2X X 2X+1 X+2 X X+2 1 0 0 0 0 1 2 X 2X+2 2 X X+2 2 2X+2 0 2 X 2 1 2X+1 X+2 2X+1 X+2 1 0 2 X X+2 2X+2 1 X+2 X+2 0 2X 1 2X 2X+1 2X 2X+2 0 0 X 2X 1 X+2 X+1 2X+2 X+2 X+1 0 2X 0 X+2 1 2X+1 X+2 X X+2 1 2X+2 2 X X 1 X+2 X+2 0 X+2 X+1 2X+1 2X 2 2X+1 2X+1 2X 2X+1 2 X 2X+2 X+1 2X 2 1 2X+2 2X+1 X 0 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 0 0 2X X 2X X 0 2X X X X X 0 X 0 2X 0 2X X X X X X 0 2X 2X X X 0 2X 2X 0 0 X 2X 2X 0 X 0 0 0 2X 2X X X 2X 0 0 0 X 2X 2X X 2X 2X 0 0 2X 0 2X 2X 2X 2X X 2X 0 2X 2X 2X generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+214x^150+330x^151+576x^152+1166x^153+1140x^154+1590x^155+2774x^156+1944x^157+2532x^158+4408x^159+3720x^160+4386x^161+6352x^162+5034x^163+5442x^164+8332x^165+6552x^166+6984x^167+10206x^168+8226x^169+8154x^170+10972x^171+8178x^172+7938x^173+10012x^174+7278x^175+6468x^176+7902x^177+4944x^178+4176x^179+5388x^180+3198x^181+2604x^182+2856x^183+1422x^184+1182x^185+1194x^186+432x^187+366x^188+298x^189+54x^190+84x^191+66x^192+30x^193+6x^194+10x^195+6x^196+2x^198+6x^201+6x^204+4x^207+2x^210 The gray image is a linear code over GF(3) with n=255, k=11 and d=150. This code was found by Heurico 1.16 in 711 seconds.