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 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 X 1 X 1 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 X 0 2X 2X 0 X 0 0 X 2X 2X X 2X 2X X 0 2X 2X 2X 0 2X X 0 2X 0 0 2X X 0 2X X X 2X X 2X 0 X 0 0 2X 2X X 2X X X 2X 2X X X 2X 2X 2X X X 0 0 2X X 2X X 0 0 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 2X 0 2X 2X X 2X 2X 0 X 0 2X 2X 0 X 0 X 0 2X 0 0 2X 2X X 0 2X X X 0 2X X X X 0 0 X 2X X 0 X X 0 0 X 2X X X 2X X X X X 2X X 0 0 2X X 0 0 X 0 0 0 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 0 2X 2X X 2X 2X X X 2X 0 2X X 2X 0 2X 0 X 2X 0 0 2X 2X X 2X 0 2X 2X 2X X X X 0 0 2X X X X 2X X 2X X X 2X 0 0 X X 2X 0 0 X 0 X 0 X X 0 X X 2X X X 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 0 2X 0 2X X X 0 2X 2X X 2X 2X 0 X 0 2X X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 0 2X X 2X X X X 0 2X 0 0 2X 0 X 0 X X X 0 0 X X X 2X 2X 0 X 0 2X 0 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 0 X X 0 X X 0 X 2X 0 2X X X X X 0 2X 0 2X 2X 2X 0 2X 0 X X X 2X X 2X X 0 X 0 0 X 0 X X 2X 0 2X X X 2X 2X 2X X X 2X 0 0 X 0 X 2X 2X X 2X X 2X X 2X generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+38x^180+120x^183+158x^186+290x^189+476x^192+480x^195+352x^198+130x^201+22x^204+20x^207+18x^210+18x^213+20x^216+10x^219+20x^222+6x^225+2x^228+4x^231+2x^270 The gray image is a linear code over GF(3) with n=291, k=7 and d=180. This code was found by Heurico 1.16 in 0.347 seconds.