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 1 1 X X 1 X X X 1 X 1 1 X X 1 1 X 1 1 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X 2X X 2X 2X X 2X 2X 2X X X X 0 2X X 0 X 2X X X X 0 X 0 2X X 0 X X 2X X 0 X 2X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X 2X X X X X 0 X X 2X 0 X 0 2X 2X 0 X X X X X 2X X 0 0 2X X 2X 2X X X X 0 X X 2X X 0 0 2X 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X X 2X 0 X 0 0 X 2X 2X 0 2X 0 2X 2X X 2X X X 2X 0 X 2X 0 2X X 0 2X 2X X X 0 2X 0 0 X X X X 0 2X 0 2X 0 0 0 0 0 X 0 0 0 0 0 X X 2X X 2X X 2X 2X 2X X X 2X 0 X X X 2X 0 2X 2X 0 2X X 0 0 X 0 2X 2X 2X 2X X 2X 0 X 2X X X 0 X 0 X X 2X X X X 0 0 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 2X 2X X 0 0 2X X 2X 2X 2X X X X X X 2X 0 X 0 X 2X 0 X 2X 2X 2X X 2X X X X X 2X 0 0 2X X 0 2X X 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X X X X 0 X X 0 0 2X 0 0 0 2X 2X X 0 2X 2X 0 X 0 2X 0 X X X X 2X X X X 0 X 0 2X 0 X X 2X X 0 X 2X 0 0 2X X 0 0 0 0 0 0 0 0 0 X 0 2X X 2X X 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 X 0 X X X 2X 0 0 0 0 0 X 0 X 0 2X X 2X X X 0 X X 0 0 2X X 2X 0 X 2X 0 X 2X 2X 0 0 0 0 0 0 0 0 0 X X 0 X 0 2X X 0 2X 2X 0 X X X 0 2X 2X X 2X 2X X X 2X X 2X 2X 2X 0 0 X 2X 0 0 0 X 0 0 0 0 X 0 2X 0 X 2X 2X X 2X 2X 0 0 X generates a code of length 60 over Z3[X]/(X^2) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+88x^93+292x^96+472x^99+668x^102+992x^105+96x^106+1182x^108+708x^109+1376x^111+2346x^112+1666x^114+5208x^115+1876x^117+8844x^118+1998x^120+10428x^121+2004x^123+7656x^124+1874x^126+3408x^127+1700x^129+672x^130+1276x^132+978x^135+568x^138+362x^141+164x^144+80x^147+50x^150+12x^153+2x^156+2x^162 The gray image is a linear code over GF(3) with n=180, k=10 and d=93. This code was found by Heurico 1.16 in 85.2 seconds.