The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 2X 1 2X X 1 X 1 1 0 1 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 X 1 1 1 X 1 X 1 0 1 1 2X 1 X 1 1 2X 1 1 0 2X 1 2X 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 0 1 0 0 0 0 2X+1 X 2 1 2X X+1 1 X+1 1 1 2X+1 1 2X+1 2X 1 X 0 2X+1 0 X+2 2X+2 2 2 X+2 X+2 X+2 2X X+1 1 2X+2 1 X+2 1 X 1 X+2 X+1 X+1 X 2X X X+2 1 2X X+2 2 1 2X X 0 X 2X 1 1 X+2 1 X+2 2X+1 1 2 2X+1 2X 0 1 1 X+1 2X X 0 X+2 1 1 2X 1 X X+2 X+1 0 2X+1 2X+1 2 2X 0 0 1 0 0 0 2X+2 2X+1 2 2X 2X+1 X+2 X 1 X+2 X+1 X 1 2X 2 2 2X+2 X+2 0 1 1 X+2 X+1 0 2X 1 X+2 1 2X+1 2X+1 0 2 2X+2 2X+1 2X+1 X+2 2X+2 X X+2 X+1 2X X+2 X 2 X 2X+1 2X 2X 0 1 2 1 2X+2 2X+1 1 2X+1 1 2X+2 2X+2 2X 2X+1 X+2 1 1 0 2X+1 X+1 X+1 0 X 2X 2 2X 2 X+2 X+2 2X+1 X+2 2X X+1 2X 1 X+2 0 0 0 1 1 2 2X+2 X+1 X 2X+2 2X+2 2X+1 1 2X 0 2 X 1 2X+2 X+2 2 0 1 1 2X+2 1 2X+2 2X+2 1 0 2X X+2 X+1 X+2 X+1 2 0 2X+1 2X 2 0 0 2X 2 0 1 2X+1 2X+1 1 1 X+2 2 X+1 0 X+2 2X X+2 2X+2 2X+1 2X 1 2 X+1 2X 1 2 2 2X 2X X X+2 1 0 2X+2 X X+2 X+1 2 X+1 2X+1 0 2X+2 1 X 2X+2 X+2 0 1 0 0 0 0 2X 0 0 0 0 0 X 2X 2X 2X X 2X X X 2X X 0 X 0 2X X 0 2X X X 2X X X X 0 X 0 2X X X X 0 2X 0 0 0 0 2X 2X X X 0 2X 0 0 0 X 0 X 0 2X 2X X 0 0 0 X X 2X X 0 0 2X 2X X X 2X 0 X 0 2X 2X 2X 0 X 2X X X X 0 0 0 0 0 X X 2X 0 X 0 0 0 X 2X 2X 2X X 2X 0 X 2X 2X X X 0 0 X 0 0 X 2X 0 0 0 2X 0 2X 0 X X 2X X 0 2X X X X 0 2X 2X X 0 X 0 X 2X X X X 2X 2X 0 0 X 2X 2X 0 0 2X 2X X 2X 0 0 0 X 0 X X 2X X X 2X 0 2X 2X X generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+598x^159+2446x^162+4080x^165+5692x^168+6940x^171+7774x^174+8852x^177+7934x^180+6608x^183+4330x^186+2444x^189+956x^192+286x^195+74x^198+18x^201+6x^204+4x^207+2x^210+2x^216+2x^219 The gray image is a linear code over GF(3) with n=264, k=10 and d=159. This code was found by Heurico 1.16 in 74.1 seconds.