The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 X 1 1 1 1 1 0 1 0 1 1 1 X 1 1 1 0 1 1 2X 2X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 0 1 1 0 1 0 1 0 2 1 2 1 1 0 2X+1 2X+2 1 0 2X+1 2X+1 2X 0 2X 2X+2 1 2 2X+1 2 1 X X+2 2X 1 2X+2 1 1 1 X+1 2X+2 2X+2 X 2X 0 1 2X+1 0 2 2 X 0 1 2X+1 1 X+1 2 X+2 2X X+1 X+2 1 1 X X+1 2X+1 2 1 0 0 0 0 1 2 1 2 1 0 2 2X+1 2 2X 2X+1 1 0 2X+2 1 2X+1 2 1 2X+1 X X 2X X+2 2 2X 2 2X+2 2X X 2X+2 X+1 X+2 1 2X X+1 2 2X+1 1 X 0 2X+1 2 0 X X+2 2X+1 X X 2X+2 X+1 2X+2 X 2 2X+2 X+1 X 2X+1 2X 2 1 0 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 X X X X 2X 2X 2X 2X X 2X 2X 2X 2X 0 X X 2X 0 0 X X X X X X 0 2X X 2X 0 X 2X 0 X 2X 0 0 2X 0 X 0 0 X 2X 2X 0 X 2X X 0 0 0 0 0 2X 0 0 0 0 0 X 2X 0 0 X X 0 X 2X 0 X 0 2X 0 X X 2X X X X 0 0 2X 2X X 2X 2X 2X X 2X 0 2X 2X 0 X X 2X 2X 2X 0 X X 0 2X 2X 2X 2X 0 0 2X 2X X X 0 0 0 0 0 0 0 X 0 X X 2X X 2X 2X 0 2X X 0 0 X 2X 0 0 X 2X 2X 0 2X X 0 X X 2X 2X 0 2X 0 2X 0 0 X X X 2X X 0 0 X 0 X 0 0 2X X X 0 X 2X X X 2X 0 X X X 0 0 0 0 0 0 0 X X X X 0 0 2X 2X X 0 2X 0 0 0 0 2X 2X 2X 0 2X 2X 2X X X 2X 0 0 2X X 0 X X X X 2X X 0 0 0 2X X 0 2X X 0 X X 0 2X 0 X X X X 2X 2X 0 0 X generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 111. Homogenous weight enumerator: w(x)=1x^0+46x^111+90x^112+48x^113+230x^114+432x^115+240x^116+712x^117+930x^118+744x^119+1306x^120+1908x^121+1140x^122+1968x^123+3024x^124+1578x^125+2642x^126+4062x^127+2322x^128+3232x^129+4698x^130+2244x^131+3432x^132+4446x^133+2154x^134+2884x^135+3612x^136+1494x^137+1856x^138+1944x^139+828x^140+786x^141+792x^142+294x^143+332x^144+252x^145+30x^146+126x^147+54x^148+6x^149+56x^150+40x^153+18x^156+8x^159+4x^162+4x^165 The gray image is a linear code over GF(3) with n=195, k=10 and d=111. This code was found by Heurico 1.16 in 48.5 seconds.