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 X 1 X 1 1 1 1 X 1 X 1 1 1 1 1 X 1 X 1 1 X 1 1 1 X 1 1 X 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 2X 2X X 2X 2X 2X 2X X 2X X 2X 2X X X X 0 X X X 2X X X X X X 0 X X 2X 2X X 0 2X 2X 2X 2X 2X 0 0 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 0 X X 0 X 2X X 2X 2X 2X 0 2X 2X 2X 2X X 2X 2X 0 2X 0 2X 0 X X 0 0 0 2X 2X 2X 0 0 2X 0 X 2X X 0 2X X 0 2X X X 0 2X 2X X 0 2X 0 0 2X 0 2X X X X 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 0 X X X 0 0 X X 2X 0 2X X 2X 2X X 2X 2X X 2X 2X X 2X X X 2X X 2X 2X 0 2X X 2X 0 X 0 2X 0 2X 0 X 0 X 2X 0 2X X 2X 0 2X X X 2X X 2X 0 0 X X 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 0 0 X X 2X X 2X X 0 0 0 0 2X 2X X 0 X 2X 2X X 2X 2X 0 0 2X 0 0 X 0 2X 0 2X X X X X 2X X 2X 0 2X X 0 0 X 2X 0 2X X 2X X 2X 0 0 0 0 X 2X X 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X 0 0 X X 0 0 X X 2X 2X 2X X 0 X 0 2X 2X 0 X 0 2X 2X 0 2X 2X 2X 0 2X X 2X 2X 0 X 0 X 2X 2X 0 0 X X X 2X 2X 0 2X 0 X 0 X 0 X 2X X X X 0 X 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 X X 2X 0 0 2X 0 2X 2X X 2X 2X 0 0 X 2X 0 X 2X X 2X X X 2X 2X 2X X 0 0 X 0 2X 0 0 2X 2X 0 X 0 0 2X 2X 0 X 2X 2X 0 X X X 0 2X 2X 2X 0 2X 0 2X 0 X 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X X 2X 0 2X X 2X 2X 2X 0 0 X X 2X 0 X 0 2X 2X X X 0 X 2X X 0 2X 2X X 2X 2X X 0 X 2X 0 2X 2X X 2X 2X X X X 2X 0 X X X X X X 2X 2X 0 2X 2X X 2X X 2X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+60x^126+206x^129+314x^132+478x^135+506x^138+962x^141+1900x^144+3282x^147+3988x^150+3714x^153+2050x^156+798x^159+422x^162+392x^165+248x^168+166x^171+94x^174+60x^177+34x^180+4x^183+2x^186+2x^198 The gray image is a linear code over GF(3) with n=225, k=9 and d=126. This code was found by Heurico 1.16 in 14.1 seconds.