The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X X X 1 X X X X 1 X X X 1 X 1 1 X 1 0 1 1 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X X X X 0 X 2X 0 2X 2X 0 X 2X 2X 0 X X 0 X 2X X X X 2X X 0 X X X 2X X X 2X 2X 2X 2X 2X 0 X X X 0 2X 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 0 2X 2X 2X 2X X 2X 2X 2X 0 X X 2X 2X X 2X 0 X 2X X X 2X 0 2X X 0 0 X X 2X 2X 0 0 X X 2X X 2X 0 0 2X X X 0 X 2X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 0 2X 2X 2X 0 X X 0 2X 0 X 0 X X 2X 2X X 0 2X 0 X 2X X 2X X 0 0 0 X 0 0 2X 2X 2X 0 0 0 X 2X X 0 X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 2X X 2X X 2X X 0 X 0 0 2X 0 2X 0 X X 2X 2X 0 2X 2X 2X X 2X X X X 0 2X X X X 2X X 0 0 X 0 2X 2X 0 X 2X 2X X 0 2X X 0 X X 2X X 0 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 2X 0 0 0 0 2X 0 X X 2X 0 2X 2X 0 0 0 X 2X 2X 0 0 X X 0 0 2X X 2X 2X 2X X X X 2X 0 2X X X 2X 0 X X 2X X X 0 2X 2X X 0 0 0 0 0 0 0 0 X 0 0 2X 2X X X X 0 X X 2X X X X 2X 0 0 2X 2X 0 0 0 X 0 0 0 2X 2X X X 2X X X 0 0 2X 0 2X X 2X 2X 0 0 2X 2X 2X 2X 2X X 0 X 0 X X 0 2X 0 X 0 0 0 0 0 0 0 0 0 X 0 2X X 2X X 0 2X 0 2X 0 X X 2X 2X 2X 2X 0 2X X X X 0 X 2X 0 2X 2X X 0 X 2X 2X 2X 2X 0 0 0 0 X 0 0 X 2X X 2X 2X 2X X 0 X 0 0 X 2X 2X 0 0 2X 0 0 0 0 0 0 0 0 0 X X 0 X 0 2X X 0 2X 2X 0 X 2X 0 2X 2X X 2X 2X 2X 2X 2X 0 X 2X X 2X 0 0 2X X 0 X X X X 0 0 X 0 0 X 2X 0 X 2X 0 0 2X 2X X 2X X 2X 2X X X X 0 generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+38x^105+180x^108+398x^111+6x^113+660x^114+48x^116+848x^117+240x^119+994x^120+1026x^122+1306x^123+2208x^125+1434x^126+4458x^128+1654x^129+6834x^131+1830x^132+8778x^134+1902x^135+7428x^137+1794x^138+5316x^140+1784x^141+2250x^143+1484x^144+672x^146+1236x^147+102x^149+842x^150+618x^153+368x^156+160x^159+86x^162+34x^165+22x^168+8x^171+2x^174 The gray image is a linear code over GF(3) with n=201, k=10 and d=105. This code was found by Heurico 1.16 in 99.5 seconds.