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 X X 1 X 1 X 1 1 1 1 X 1 1 X 1 1 1 X 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X X 2X X 2X X 0 2X 2X 0 X 2X X X 0 0 2X 2X X 2X 2X X X X 2X X X 2X X 2X 0 2X 0 0 0 2X 0 0 0 2X X 0 2X X X X 0 0 0 X 2X 0 0 X 0 X 2X X 0 2X X X 0 2X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X X 2X 0 2X 0 X 0 2X 0 2X X X X X 2X X 0 2X X 0 0 0 2X 0 X 2X 2X 2X 2X 2X 0 2X 2X 0 0 X 0 2X 0 2X 0 2X 0 X 2X X 0 X 0 2X 0 2X X X X 2X X 2X 0 X 2X 2X X 0 X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 X 2X 2X 2X 0 0 X 0 X X 0 2X 2X 2X 2X 2X 0 0 X 2X 2X 0 2X 0 2X X 0 0 X 2X 0 2X X 0 0 X 2X 2X 0 0 X 0 X X X 2X 0 2X 2X 0 2X X 2X X 0 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X X 2X X X X 2X 2X 2X X 0 0 0 2X 0 2X 2X 0 0 X 0 2X X 0 X X 0 X 2X 0 X 2X X X 2X 0 0 0 2X 0 X 0 X 2X X X 0 X X 0 2X X X X 0 0 2X 0 2X X X X X X X X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 2X 0 X 0 0 X 2X X X 0 X 2X 0 X 2X 2X X 2X 0 0 2X 0 2X X 0 0 0 0 2X X X X X 2X 2X X X 2X 0 X 2X 0 2X 0 0 2X 2X X 2X 2X 2X 2X 2X X 2X 2X 2X X X 2X 2X 0 0 2X X 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X 2X 2X 2X X 2X 2X X 0 0 0 0 0 2X X 2X 2X 0 2X 2X X 0 2X 0 0 0 0 2X X 0 0 0 2X X 2X 0 0 2X X 0 X X X X 2X 0 X X 2X 2X X 0 2X 2X 2X 0 2X 0 X X X 2X 2X 2X 2X X generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+48x^156+144x^159+220x^162+210x^165+400x^168+756x^171+1300x^174+1462x^177+1036x^180+406x^183+144x^186+102x^189+80x^192+82x^195+50x^198+58x^201+34x^204+16x^207+4x^210+2x^213+4x^216+2x^243 The gray image is a linear code over GF(3) with n=264, k=8 and d=156. This code was found by Heurico 1.16 in 1.87 seconds.