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 X 1 1 1 0 1 1 1 2X 1 2X 1 2X X 0 2X 1 1 1 1 1 0 0 1 1 1 1 1 X 2X 1 2X 1 0 1 1 1 1 1 0 1 1 X 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 X+1 1 X+2 2X X 0 X+1 0 0 1 X 0 2X+1 1 1 1 1 2X 1 2 2 0 1 2X X+2 X+2 2X+1 2X+1 2 2X 1 2X+2 2X X+2 X X+2 2 X+1 X X+1 2X 2X+1 2X+1 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 1 1 2 X+2 2X+1 1 2X+2 2 X+2 2 2 1 2X+1 X+1 2X+2 2X+2 2 1 2X+2 2X+2 1 2X+2 2X+1 1 2 X+1 X+1 0 1 1 2X+1 X+1 X 1 1 X 2X+2 1 2 X+2 0 2 2X 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 X+1 2X 1 2 2X 2 1 X X+1 1 X+1 0 2 X+1 X+2 1 2X 2X+2 2X+2 2 X+1 2X 2 X+1 0 1 0 2X 2X X+2 2 X+2 0 X+2 X 2 1 2X+1 2X+2 X+1 0 1 X+2 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 X+2 X+2 1 X+1 X+2 2 2X 2X+2 X X+1 X+1 1 2X+1 2X 2X X 2X+2 2 0 2 0 0 X 2X+2 X 2 0 2X+2 X+1 2X+1 1 2 1 2X+1 2X+2 1 2X+2 2X+2 2X+2 2X+1 1 2 1 1 generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 119. Homogenous weight enumerator: w(x)=1x^0+636x^119+480x^120+1836x^122+1176x^123+3480x^125+2000x^126+4302x^128+2494x^129+5736x^131+2814x^132+6738x^134+3274x^135+6066x^137+3282x^138+5214x^140+2274x^141+3300x^143+1196x^144+1470x^146+544x^147+498x^149+108x^150+90x^152+36x^153+4x^165 The gray image is a linear code over GF(3) with n=201, k=10 and d=119. This code was found by Heurico 1.16 in 200 seconds.