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 X 1 1 1 X 1 X 1 X 1 X 1 1 1 1 1 X 1 1 1 1 X X 1 1 1 X 1 1 X 1 X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X X X 2X 2X X 2X X X 2X 2X 0 0 2X 2X X X 0 X X 2X X 2X X X X 2X X X 2X 2X 0 X 0 X 2X X 0 2X X 2X X 2X 0 2X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X 2X 2X 2X 0 X 2X X X X 2X X 0 X 2X 0 0 2X 2X 2X 0 2X X 2X 2X 0 2X X 0 X 2X 2X 2X 2X X 0 0 X X 2X 2X X 0 2X 2X 0 X 0 0 0 2X 0 X X X 2X 0 0 0 X 0 0 0 0 0 0 0 0 X X 2X X 0 X 2X X 2X 2X 2X 0 X 0 X 2X 0 2X X 0 0 2X X 0 X X 2X X 2X 0 X X 2X X 0 2X 0 2X X X 2X X 0 0 2X 2X X 2X X X 0 X 0 X 2X 2X X 2X X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 2X 2X X 0 X 2X X X 2X 0 X 2X X 0 0 2X X X X X 0 0 0 2X X X 2X 0 X X 2X X X 0 0 2X 0 0 X 0 0 0 X X 2X X X 0 0 0 0 2X 0 X X 0 2X 2X 0 0 0 0 0 X 0 0 X 2X 0 2X 2X X X X 2X X X X 0 2X 2X 2X 0 X X 0 X X 0 X 2X 2X 0 X 0 2X 2X 0 0 X 2X X X 0 X 2X X X X 0 2X X 0 X X 0 2X X 2X 2X X 2X 2X 0 0 2X 2X X X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X X 2X 2X X 2X 0 0 X 2X 0 2X 2X X X X 0 0 0 X X 2X X 2X 0 0 0 2X X 2X 2X 0 X 0 2X X X 0 0 0 0 2X X 2X X 2X 2X X 0 X 0 0 X 0 0 2X 0 X 0 0 0 0 0 0 0 X 2X 2X 2X 2X X 0 X X 0 0 X 0 2X X X 0 2X 0 X 2X 0 2X 0 2X 0 X 2X X 0 2X 0 0 0 X X X 0 2X 2X X 0 2X 0 0 2X X X 0 2X 0 X 0 X X 2X 2X X X 2X X X 0 0 generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+170x^120+308x^123+6x^124+342x^126+66x^127+430x^129+186x^130+504x^132+570x^133+530x^135+1458x^136+564x^138+2616x^139+516x^141+3018x^142+604x^144+2898x^145+550x^147+1572x^148+534x^150+618x^151+452x^153+114x^154+388x^156+278x^159+176x^162+104x^165+68x^168+28x^171+8x^174+6x^177 The gray image is a linear code over GF(3) with n=213, k=9 and d=120. This code was found by Heurico 1.16 in 28.9 seconds.