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 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X X 1 X 1 1 1 X 1 X 1 X 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 0 2X X 2X X 0 X 0 2X X 0 2X X 2X 2X 2X X X 0 X 2X 2X 0 0 0 X 2X X X X 2X X X 0 X 0 0 X 2X 0 2X 2X 0 X 0 0 2X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X X 0 X X 0 2X 2X 0 X X 2X 0 X 0 2X 2X 2X X 0 2X 2X 2X X X 2X 2X 2X 2X 0 2X 0 2X 0 0 X 0 X 2X 2X X X X 2X 2X 2X X 2X X 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 0 X 0 2X 0 2X 2X 0 2X 0 X 2X 2X X X X 2X 0 2X 0 2X X 0 2X X 2X 2X X X 0 X X 2X 0 X 2X 0 2X 0 X 2X 0 2X 2X 2X X 2X 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 2X X 0 2X 2X 0 X 2X 0 2X X 0 X 0 X 0 2X 2X 0 0 2X 2X X 0 X 2X X 0 X X 2X 2X 0 X X X X 2X X X X X 2X X X 2X X 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X 2X X 2X 2X 2X 2X 0 2X 0 X 0 0 2X X 2X 0 2X X X 0 X 0 0 X 0 X 2X X 2X 0 0 X 0 X 2X X 0 X 2X 0 0 X 2X 2X 0 X 2X 0 generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+246x^117+90x^120+198x^123+574x^126+396x^129+288x^132+292x^135+58x^144+38x^153+4x^162+2x^171 The gray image is a linear code over GF(3) with n=192, k=7 and d=117. This code was found by Heurico 1.16 in 77.3 seconds.