The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 1 1 X 1 1 1 1 1 X 1 1 2X 1 0 2X 1 1 1 1 2X 1 X 1 1 1 1 1 1 1 1 1 0 2X X 1 1 1 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 2X+1 X 1 1 2X+1 2X 2X+2 X+2 2X X+1 2 1 2 1 0 X X+1 1 1 1 2X 1 X+1 2 0 0 X+2 2X+2 2 X+2 2X 2X 0 1 X 1 2X X+1 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 2X+2 X+2 X+2 2X+1 0 X+1 2X 2 1 2 X 2X X+1 X+1 1 2X+1 0 1 2X+2 2X 0 2X+2 2X X 2X+2 1 2 0 1 2X+1 2X+2 1 1 2 X 0 2X+1 X+1 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 2X 0 X 2X 0 X X 0 X 0 X 0 2X X 0 2X 0 0 2X 0 X 2X X 0 2X 2X 0 X X X 2X 0 2X 2X 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 0 2X 2X 0 X X X 0 X 2X X X 2X 0 0 0 0 2X X X 0 X 0 0 X 0 X 2X X 2X 0 2X X X 0 0 X X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 X 0 X 2X X 0 X 0 0 2X X X 2X 0 2X 0 X X 2X 2X 0 2X 0 0 2X X 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 95. Homogenous weight enumerator: w(x)=1x^0+180x^95+282x^96+816x^98+652x^99+1518x^101+806x^102+1932x^104+894x^105+2310x^107+1126x^108+2544x^110+1144x^111+2112x^113+958x^114+1194x^116+420x^117+420x^119+180x^120+96x^122+52x^123+20x^126+10x^129+10x^132+4x^135+2x^138 The gray image is a linear code over GF(3) with n=162, k=9 and d=95. This code was found by Heurico 1.16 in 20.3 seconds.