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 0 2X 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 2X 0 1 1 2X X 0 0 1 1 1 1 1 1 1 X 0 1 1 0 1 1 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 X+2 2X 1 X+1 0 X+1 2X 1 X+1 X+2 2X+1 2X+2 1 2 X X+2 2X X X+1 2X+1 2 X+1 1 1 X X 1 1 1 2X X X X X+2 2 2 1 0 1 2X 1 2X 0 2X 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 2X 1 2X+1 2 X+2 2X+1 0 X+2 2X+2 1 2X 2 0 2X+1 1 2X+2 X+2 2X+1 2X+2 X+1 2X 1 2X X+1 0 X X+1 X+1 2X 1 2 0 2X+1 0 X+2 1 X 1 X+1 0 X+2 1 2X 2X+2 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 X X X X 2X 0 2X 0 0 0 2X X 0 X X 2X 0 2X X X 2X 2X X 0 0 X 2X X X 2X 2X 0 0 0 2X 0 X 0 2X 2X 0 X X 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 2X X 2X X X 2X X 0 2X 0 0 2X 2X 0 X X 0 2X 2X X 0 0 0 0 0 0 2X 0 2X 2X 2X 2X X 2X 2X X X 0 0 X 2X 2X 0 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 2X X 0 0 2X 0 X 2X 2X 0 2X 2X 0 X 2X 2X 0 X 0 X 0 2X X 0 0 X 2X 0 0 X 2X X 0 0 2X X X 2X X 2X 2X X generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+264x^128+230x^129+840x^131+526x^132+1254x^134+812x^135+1788x^137+934x^138+2052x^140+1074x^141+2154x^143+974x^144+1866x^146+880x^147+1494x^149+506x^150+912x^152+368x^153+396x^155+148x^156+96x^158+40x^159+22x^162+6x^164+14x^165+14x^168+8x^171+8x^174+2x^180 The gray image is a linear code over GF(3) with n=213, k=9 and d=128. This code was found by Heurico 1.16 in 6.81 seconds.