The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 1 X 2X 1 1 X 1 1 1 2X 0 1 1 1 1 1 1 2X X 1 X 1 1 0 0 1 1 1 1 0 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X+1 X+2 1 1 X+1 X 1 2 1 2X 0 1 X+2 0 2X+2 X+1 X+2 X 1 2X 2 1 2X+1 X+1 1 2X X 2X+1 2X+2 2X+1 1 2X 0 2 X X+2 1 2X 2X+1 X+1 X+1 2 2X+2 X+2 2X+2 1 2X+2 X+1 2X+1 1 X 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 2 X+1 X 2X+2 X+1 2X+1 1 X+2 2 1 1 X+2 2X 2X+2 X+1 0 2X+2 X X 1 2X+1 X+2 X+2 X+2 2X 1 2X X+1 0 1 2X+2 2 2X 0 1 2X+1 X+1 2X+2 X X 1 X 2 X+2 2X X+1 2X+2 2X 0 X+1 2 generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+60x^120+162x^121+120x^122+110x^123+84x^124+12x^125+36x^126+30x^127+12x^128+2x^129+30x^130+12x^131+16x^132+12x^133+2x^135+10x^138+6x^140+6x^141+6x^142 The gray image is a linear code over GF(3) with n=186, k=6 and d=120. This code was found by Heurico 1.16 in 0.0425 seconds.