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 2X X 1 1 1 2X 1 2X 1 1 2X 0 2X 1 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 2X 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 X+2 2X+1 2X+1 2X+2 1 0 2X+1 2X X+2 1 2X 1 1 X 1 1 1 2 X+1 1 1 2X 2 0 2X+2 X+2 2 X+1 2X+1 2X+2 X 0 X 2X X 2 1 1 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 2X+2 0 0 2X+1 X+1 2X+2 1 2X+1 2X+1 X X+1 2X+2 X+2 X+2 2 X+1 0 2X 2X+2 X+2 2X+2 1 1 X+2 X 2 2X+1 2X 0 2 2X+2 2X 2X 2X+2 1 1 2X+2 2X 2X+1 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 X X 2X 0 X 2X 2X X 0 X 2X 2X 2X X 2X 2X 2X 0 2X X 0 2X 0 2X 0 0 2X X 0 X X 2X 0 X 2X 0 X X 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 2X 2X X X X 0 0 X X X 0 X X X 0 2X 0 0 2X 2X 2X 2X 2X 0 2X X 2X X 0 0 X 0 X 0 0 X 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 0 X 2X X 0 2X 0 2X 2X 0 X X X 0 2X 2X 0 0 X 0 X 2X 0 0 X 2X 2X 0 X 2X 2X 2X X X X 2X 2X 2X 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 X 0 0 2X X 0 2X X 0 2X 0 2X 2X 0 2X 0 X X 0 X X 0 2X X X X X X 2X 2X X 2X 2X X X X X 2X X generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+72x^123+234x^125+288x^126+1152x^128+700x^129+2178x^131+1372x^132+3480x^134+1848x^135+4926x^137+2626x^138+6012x^140+3212x^141+6612x^143+3478x^144+6120x^146+2794x^147+4824x^149+1768x^150+2472x^152+920x^153+972x^155+302x^156+324x^158+142x^159+54x^161+60x^162+6x^164+56x^165+18x^168+18x^171+2x^174+4x^177+2x^180 The gray image is a linear code over GF(3) with n=213, k=10 and d=123. This code was found by Heurico 1.16 in 54.8 seconds.