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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 X 1 1 X 1 1 1 X 1 1 1 X 1 X 1 X 1 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 0 2X 0 X 2X 2X X X X 2X 2X 2X 0 X X 0 2X 2X X X 2X 0 0 X 2X 0 0 0 0 2X 0 X X 0 0 2X 2X 0 2X 0 X X 0 0 X 2X 2X 2X X X X 0 2X X X 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 X 2X X 0 X 0 2X X X 2X 0 0 0 2X X 2X X 0 2X 2X 0 0 0 0 0 2X X X 0 2X 2X X 2X X 0 X 2X 0 X 2X 2X 0 0 2X 0 0 2X X 0 2X X X 0 X 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 0 2X 2X X 2X 2X X X 2X X 2X X 2X 0 X 0 0 2X 0 X X 2X X 2X X 0 2X 2X 2X 0 2X X 0 0 2X X 2X 0 0 0 X 2X 2X 2X X X 0 0 2X 0 2X X 0 X 2X X 2X X X X 2X 0 X 2X 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 2X 2X 0 0 X X 2X 0 X X 2X X X X 0 X 2X 0 2X X 0 0 X X 0 0 0 2X 2X 0 0 2X X X 2X 0 0 X 2X 2X X X 2X X 0 2X X 0 0 X 0 X 0 X 2X 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 X 2X 2X X X 0 0 0 0 0 0 2X 2X 2X 0 0 0 X 0 2X X 2X 2X 2X 2X X 0 2X X X 0 2X X 0 0 0 0 X X 0 X 0 0 X 0 2X 2X 0 X 0 X 2X 2X 0 X generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+82x^183+122x^186+252x^189+308x^192+416x^195+536x^198+212x^201+118x^204+20x^207+30x^210+24x^213+18x^216+14x^219+18x^222+4x^225+2x^228+4x^231+4x^234+2x^270 The gray image is a linear code over GF(3) with n=294, k=7 and d=183. This code was found by Heurico 1.16 in 0.399 seconds.