The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 X 1 2X 2X 0 X 1 2X 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 X 0 1 0 X 1 1 1 X 1 1 1 1 1 X 1 1 1 1 1 1 0 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 2X X+2 X+1 1 1 1 1 1 0 2X+2 1 X+2 X+1 2X+2 2X 1 2X+1 2X 2X+2 0 2 2X 1 2 1 X X+2 2X+2 X 2 1 1 X+1 1 2X X X X+1 0 2X+2 1 0 0 X 1 X 2X 0 1 2X+2 X 0 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 1 1 2 X+1 2 2 1 1 1 1 X+2 2X+1 2 2 X+1 2 2X+1 X+2 X+2 1 2X+2 X+2 2X+2 2X+2 2 X+2 2X+2 2 1 2X+2 2X 2 X+2 1 X+1 2X+1 2 1 0 X+1 X+1 2 2X+2 X+2 X 2X+1 1 X+1 X+1 X+2 0 1 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X 2 2X+1 X+2 2X+2 X+1 2 2X 2X 2X X+1 2X+1 2X+1 1 2 2X 1 X X+1 1 2X+1 X X+2 0 X+1 X 0 2X 2 2X+1 X+2 2X 2X 2 1 2X+2 X+1 X 1 X 2X+2 0 2X+2 2X+1 2X+2 2X+1 2 1 2 1 2 X 2X 1 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2X+1 X+1 0 X+1 2X+2 2X+2 X+1 2X 2X+2 2X X+2 2X 2X+1 2X+2 0 1 0 X 2X+1 2 2 X+1 2X+2 2 X+1 2X+2 2X+2 2X+1 1 2X+1 0 X+1 2 2 2X+2 X+2 2 2X 2X+1 1 X X+1 X X+2 1 0 X+2 2X+2 2 2X 2X+1 1 1 generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 149. Homogenous weight enumerator: w(x)=1x^0+186x^149+246x^150+372x^151+1032x^152+1016x^153+756x^154+1728x^155+1558x^156+1146x^157+2670x^158+2218x^159+1476x^160+3120x^161+2432x^162+1698x^163+3570x^164+2684x^165+2082x^166+3834x^167+2880x^168+1764x^169+3588x^170+2522x^171+1632x^172+3078x^173+2170x^174+1236x^175+1920x^176+1110x^177+612x^178+1002x^179+552x^180+306x^181+384x^182+246x^183+36x^184+102x^185+44x^186+6x^187+24x^188+2x^189+6x^191+2x^192 The gray image is a linear code over GF(3) with n=249, k=10 and d=149. This code was found by Heurico 1.16 in 68 seconds.