The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 1 0 X 0 2X 1 1 1 1 2X 1 1 1 2X 1 0 X 1 1 1 1 1 1 1 1 2X X X 1 1 2X X 0 X 1 1 1 1 2X 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 1 2X 2X 2X+1 0 1 1 1 2X+1 2X+2 2 X+2 0 X+1 X 2X 1 2 1 1 0 2X+2 2X 2X 2X+1 0 1 0 1 1 1 2X X 1 1 1 1 X+1 X+1 1 X+1 1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 1 2X+1 0 X+2 1 X+1 X+1 2X+2 2 X+1 2 X+1 1 X 1 0 X+2 2X X+1 X+2 2 X+2 1 X+1 2X 2 2X+2 X+2 X+1 X 0 2X+1 2X+1 2X+1 2 2X+2 X 2X+2 1 2 X 2X+2 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 0 2X 0 X X X 2X X 2X 0 0 X 0 0 X X 0 X 0 X X 0 X 2X 0 0 X X X X 0 X 0 X 0 X 2X X 0 2X X 2X generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+322x^123+586x^126+500x^129+246x^132+188x^135+148x^138+104x^141+58x^144+18x^147+12x^150+2x^153+2x^162 The gray image is a linear code over GF(3) with n=195, k=7 and d=123. This code was found by Heurico 1.13 in 0.0742 seconds.