The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 2X 1 1 2X 1 1 X 1 1 1 0 1 1 X 1 1 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 X+2 1 1 0 2X+1 2 1 0 2X+2 X+1 X 2 1 2X+1 X 2X+1 X+2 1 2 X 2X+1 2X 1 2X+2 X+1 1 1 2X+2 1 2 2X+1 2X 1 2X+1 X+2 1 0 2X+1 X 1 X+1 X 2X 2 2 1 X+2 X+1 2X+1 0 X+1 2X X 0 0 2X 0 0 0 0 0 0 0 0 0 0 X 0 X 2X X 2X X 0 X 2X X 2X 2X 2X 0 X X 2X X 0 X X X 0 0 X X X 2X 2X 2X X 2X 0 0 0 X 2X 2X X 0 X 0 0 X 2X 2X 2X X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 X 2X 2X X X 2X X 2X 0 X X 2X 0 X 2X 0 2X X X X X 0 X 2X 0 2X 2X 0 0 X X 0 X 0 X X X 0 2X 2X X 2X 0 0 0 X X X X 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 2X 0 0 2X 0 X X 2X X 2X 0 X 0 2X X X 0 X X 0 2X 0 2X X 2X 2X 2X 2X X 2X 2X X X 2X X 2X 2X X X 0 2X 2X 0 0 2X X 2X X X 0 2X X X 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 0 2X 0 0 0 2X 2X 0 0 0 2X 2X X 0 X 0 0 2X 0 2X X X X X 2X X 0 2X 0 X 2X 2X 2X 2X 2X 0 2X 0 X 2X 2X 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X X 2X 0 2X 2X 2X X 2X 2X 0 X 2X 2X 0 0 0 X 2X 0 X X X X X 2X 0 0 0 2X X 0 2X X 2X 2X X X X X 2X 2X X X 0 2X 0 X 2X 2X 2X X 2X X generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+106x^117+78x^119+240x^120+462x^122+440x^123+990x^125+560x^126+1440x^128+792x^129+2148x^131+1026x^132+2412x^134+972x^135+2484x^137+934x^138+1932x^140+766x^141+864x^143+252x^144+264x^146+184x^147+48x^149+110x^150+74x^153+58x^156+34x^159+6x^162+6x^165 The gray image is a linear code over GF(3) with n=201, k=9 and d=117. This code was found by Heurico 1.16 in 7.36 seconds.