The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 X 1 1 1 1 1 1 0 1 2X 1 0 1 1 1 2X 1 X 1 1 1 1 1 1 1 1 X 1 1 1 2X 1 0 1 2X 0 1 2X 1 1 1 X 1 2X 1 1 1 1 1 1 1 1 1 2X 1 2X 1 1 1 1 2X 1 1 0 1 0 1 0 2 1 2 1 1 0 2X+1 2X+2 1 X 2X+1 1 2 0 X+2 2X 2X 1 2X+2 1 X+1 2X+2 X X 2 1 X+2 2X+1 1 2X 2X+1 X+2 2 2 1 X+1 2 X 1 1 1 0 1 1 X+1 1 2X 2X+1 2X+1 1 2X 1 X+2 X+1 X+1 1 2 X 1 X+2 0 0 2X+1 1 X+1 2 2 X 2X 2 0 0 0 1 2 1 2 1 0 2 2X+1 2 2X 2X+1 1 2X+2 2X+2 1 2X X 2 1 2X+1 2X+2 2X+1 X X 2X+2 2X 1 1 0 0 2X+1 X 1 X+2 2X+1 X+2 2X 2X+2 X+2 2 2X 2X 2X+1 2 X+1 0 1 2X+2 X+2 X+1 2X+1 X+1 X+1 0 2X+2 2X 2X+2 2X+2 X+2 2X+1 2X+1 2X 2X+2 2 1 1 2X+1 0 2X+1 1 2X+2 1 X+2 0 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 X X X X X X 2X X X X 2X 0 X 0 2X 0 X 2X X X 0 0 0 2X X 2X X X X 0 X 0 0 2X X X X 2X 0 X 2X 2X 0 2X 2X X 2X 0 X X X X X X X 0 2X 0 2X 2X 0 0 0 0 0 2X 0 0 0 0 0 X 2X 0 0 2X X 0 0 0 0 0 2X 0 2X X X X 2X 2X 2X 2X 2X 2X X X 0 X X X X 0 2X 0 2X 2X 0 X X X 2X 2X 2X X 2X X X 2X 2X X X 2X 2X X 2X 2X 0 X X 0 0 X X 2X 0 2X 0 0 0 0 0 0 X 0 X X 2X X 2X 2X 0 X 2X X 2X X 2X X 2X 2X X 2X 2X 2X X 0 X 0 0 2X X 2X 2X X 2X 0 X X 0 0 2X 2X X 2X X 2X 2X X X X 0 0 X 0 2X 0 X 0 0 X 0 X X 0 X 2X 0 0 X 2X 0 0 0 0 0 0 0 0 0 X X X X 0 0 2X 2X 0 0 0 0 2X 2X 2X X 0 2X 2X X 0 0 2X X X X 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 0 X X 0 2X 2X X X X 0 X 2X X 2X 2X 0 X 2X 2X 2X 0 0 0 X 0 0 2X 2X 0 0 0 generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+36x^132+246x^134+372x^135+852x^137+640x^138+1662x^140+1238x^141+3156x^143+1790x^144+4410x^146+2330x^147+5568x^149+2824x^150+6306x^152+2952x^153+6384x^155+2774x^156+5424x^158+2164x^159+3198x^161+1400x^162+1518x^164+710x^165+522x^167+222x^168+108x^170+78x^171+12x^173+60x^174+40x^177+20x^180+18x^183+10x^186+2x^189+2x^192 The gray image is a linear code over GF(3) with n=228, k=10 and d=132. This code was found by Heurico 1.16 in 59.4 seconds.