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 1 1 1 1 X X X 1 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 1 X 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 2X 2X X X X 2X 2X X X X X X 2X 2X X 2X X 2X X 2X X X X 2X 2X 0 2X X 2X X 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 0 X X 0 X X 0 2X 2X 2X 2X 2X 2X 2X 2X X 2X 2X X 0 0 2X X X 0 0 X X X 0 X 0 2X 0 2X 0 X 0 2X X 2X X 0 X 2X 2X 2X 0 2X 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 0 X X X 0 X 2X 0 X X 0 2X 2X 2X X 2X 2X X 0 0 2X 0 0 X 2X 0 2X 2X 0 0 X 0 2X X 0 X 2X 0 0 X X X 0 0 0 X 2X 2X X 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 0 0 X X 2X 2X 0 0 X 0 X 0 2X 2X X 0 X 2X 2X 2X X 0 2X 0 2X X X 0 0 0 X 2X 0 0 0 0 2X 2X 0 X 0 X 2X X 0 2X X X X 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X 0 0 X X 0 2X 2X X 2X 0 X X 0 X 0 2X 2X 0 2X X 0 X 2X X X 0 0 0 0 X 2X 0 2X X X 2X 0 X X 2X 2X X 0 2X X 0 2X X 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 X X 2X 0 0 0 2X X 2X 2X 2X 2X 0 0 X 2X 0 X X X 2X X 0 0 0 X 2X X 0 X 2X 0 X 2X 2X 0 X X X 0 X X 2X 2X 2X X 0 X X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X X 2X 0 2X X 2X X 0 2X X 2X 0 2X 0 X 0 2X 2X 0 2X 2X X 0 X X 2X 0 X 0 0 X 2X 2X X X 2X 0 2X 0 X 0 X 0 0 0 0 2X 0 2X 2X generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+90x^108+284x^111+362x^114+54x^116+480x^117+222x^119+496x^120+678x^122+550x^123+1854x^125+544x^126+3030x^128+550x^129+3306x^131+600x^132+2628x^134+628x^135+1122x^137+518x^138+228x^140+452x^141+406x^144+270x^147+180x^150+90x^153+36x^156+16x^159+2x^162+6x^165 The gray image is a linear code over GF(3) with n=195, k=9 and d=108. This code was found by Heurico 1.16 in 11.7 seconds.