The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 0 1 1 1 1 0 1 1 X 1 2X 1 1 1 2X 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 1 1 X 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 2 1 1 2X+1 2 0 X+2 1 0 2X+1 2 X+1 1 X+2 X 1 2X+1 1 0 X+2 2X 1 2X+1 2X+2 1 2X+2 X+2 2X X 2X 1 2X+1 X 2X 2X+1 X 1 2X 1 1 2 2X 2X+1 2 1 2 1 2X+2 X X+2 1 2X+2 2X+2 0 2 2X+1 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X X 2X 2X X 2X 2X X 2X X X 0 2X 0 2X 2X 2X 2X 0 2X 0 0 2X 0 2X X 2X 0 X X X 2X 2X X 2X 2X 2X 0 X 0 X 2X 2X 2X 2X 2X X 0 X 0 X 2X X X X 2X 2X 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X 2X X 0 2X 2X 2X X 2X 0 2X 0 X 2X X 0 2X X 0 X X 0 X 2X 2X 2X X 2X 2X X 0 2X 2X 2X 0 0 X X X 0 2X 0 2X 2X 2X 0 X 2X 2X 2X X 0 2X X 0 0 0 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X X 0 0 X 2X 2X 0 0 X X 2X X X 0 2X 2X 0 2X X 0 2X X 2X X X X 2X 2X X 2X 2X X 2X X X 2X 2X X X 2X 2X 0 0 0 X X 0 2X X 0 2X 0 0 2X 2X 0 0 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X X 0 2X X 2X X X X X 0 0 2X 2X X 2X 0 2X 0 X 0 0 X X 0 0 0 X X 2X 2X X 2X 0 2X X 2X X 0 2X 0 X X 0 2X 0 0 X X 0 2X 2X 2X X X X 0 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X 0 2X X X 0 0 0 X 2X 2X 2X 0 X X 0 0 0 2X X 2X X X X X 0 0 0 0 X X X 0 2X 2X X 2X 0 X 2X 0 0 0 X X 2X 2X 0 2X 2X 2X 2X X 2X 0 X X 2X 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+46x^123+12x^125+174x^126+24x^127+42x^128+498x^129+132x^130+180x^131+798x^132+246x^133+342x^134+1112x^135+516x^136+600x^137+1380x^138+726x^139+828x^140+1710x^141+912x^142+810x^143+1724x^144+930x^145+816x^146+1422x^147+546x^148+504x^149+1136x^150+246x^151+186x^152+448x^153+96x^154+54x^155+218x^156+112x^159+60x^162+38x^165+28x^168+16x^171+8x^174+4x^177+2x^180 The gray image is a linear code over GF(3) with n=213, k=9 and d=123. This code was found by Heurico 1.16 in 7.78 seconds.