The generator matrix 1 0 0 0 0 1 1 1 2X 0 2X 2X 1 1 2X X 1 1 1 2X 2X 1 1 1 1 1 1 1 2X 1 2X 1 1 1 1 0 1 1 1 1 1 1 X 1 1 1 1 X 1 2X 1 1 2X 1 1 1 1 1 1 1 2X 2X 0 1 1 1 1 1 1 1 X 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 X+2 2X+2 2X X 2 2X+2 2X 1 X X+2 2 2X+1 0 X 2X 1 1 2 0 X+2 X+1 2X+1 X 1 2 X+1 2X+2 1 2X X+1 1 0 2 X+1 1 1 X+2 1 2X+1 X+1 X 2X+1 0 0 X+1 2X+1 2X 2X+2 1 2X 1 2X+1 2X 2X+2 X+1 1 X+2 2X+1 1 X X+1 X+2 2X+1 0 0 1 0 0 0 1 2X+1 1 1 2X 2X+1 X+1 X 0 1 0 1 2 2X+2 1 X+2 X+2 2 2 2X+1 2 2X+2 X 1 1 2X 2X X+2 1 2X+2 2X+2 X+1 X+1 2X+2 0 2X+1 X 2X+2 X 0 X+1 2X+2 2 2X+1 1 2 2X 2X 2X 2 X+1 X+2 1 2 2X+2 1 0 X 2X+1 0 2X 2X+1 2X+2 0 X X+1 2X X+1 X+1 0 0 0 1 0 1 1 2X+2 X+1 X+1 2X+1 X+2 X+1 X 1 2 2X+1 0 2X+2 2X+2 0 1 X 1 X X X+1 0 2 2 X+2 X+2 2 X+1 X+2 2X+2 2 2 1 X+2 2 X+1 X+1 2X+1 X 1 0 2X 0 X 0 2X 2X 0 2 2X+1 X+2 2X 2X+1 2X+1 1 2X 0 X+2 X 2X 1 2X 0 2X+1 X 2X+1 X+1 X 2X+1 0 0 0 0 1 2 X 2X+2 2 X X+2 2 2 X+2 1 2X+1 1 2X X 0 2X+2 0 2X+1 X+1 2X 1 2X+1 2X+2 X+1 X+1 2X 0 1 2 X 1 2 2 1 0 X+2 X+2 X 2X+2 X+1 2 2X+1 X X 2X+1 2 X 1 X 0 0 2X 0 1 2X+1 2X 2X+1 X+2 2 2 2X X X 2 X+1 1 2X+1 2X+1 X X+1 0 0 0 0 0 2X 0 2X 0 0 2X 2X 0 0 2X 2X 2X X 0 0 X X 2X X 2X 2X 2X X 0 0 X 0 0 2X X X X 0 X 2X 0 X X 2X X 0 0 0 0 2X 2X X X 2X 2X 0 2X 0 2X X 0 0 X X 0 X 2X X 2X 2X 2X X 0 0 X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 131. Homogenous weight enumerator: w(x)=1x^0+312x^131+394x^132+462x^133+1338x^134+1378x^135+1254x^136+3120x^137+2930x^138+2028x^139+5124x^140+4428x^141+3426x^142+7776x^143+6494x^144+4980x^145+10110x^146+8102x^147+6186x^148+12558x^149+9872x^150+6426x^151+12624x^152+9388x^153+5706x^154+11382x^155+7558x^156+4464x^157+7764x^158+4838x^159+2604x^160+4248x^161+2450x^162+1272x^163+1764x^164+894x^165+444x^166+486x^167+224x^168+96x^169+96x^170+72x^171+18x^172+30x^173+6x^174+6x^177+4x^180+4x^183+2x^186+4x^189 The gray image is a linear code over GF(3) with n=225, k=11 and d=131. This code was found by Heurico 1.16 in 525 seconds.