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 X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 1 1 1 X X 1 X 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 0 2X X 0 2X 2X X 2X X 2X 2X 0 X 0 2X X X 0 2X X X 0 X 2X 2X X X X 2X 2X 2X 2X 0 0 X 2X X X 0 0 0 0 2X 0 0 2X 2X 0 X X 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 X 2X 0 2X 0 0 X 0 2X 0 X 2X X X 2X X X 2X X 2X X 0 2X 0 X X 2X 0 2X 0 2X X 2X X X X 0 X X X 2X 0 0 X 2X X 2X 2X 0 2X 0 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 0 2X 2X 0 0 2X 2X 2X 0 0 X 2X 2X X 2X 0 X 2X X 0 X 0 0 2X X X 2X 2X X X 2X 2X 0 2X 0 X 0 X 0 X 0 X 2X 0 0 0 2X X X 0 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 0 X 2X 0 X 0 0 2X X 2X 2X 0 0 0 0 2X 2X X 2X 0 X 2X X X X 0 0 0 2X 2X X 0 2X X 0 0 X 0 0 0 2X 0 2X X 2X 2X X 0 2X 2X 2X 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 2X X 2X 0 0 X 0 X 2X 2X 2X 2X X 2X 0 X X 2X 0 2X 0 0 0 0 0 2X 0 0 2X X X 0 X 2X X 2X 2X X X 0 X 0 0 2X 0 0 2X 0 X X 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 0 X X 0 0 2X 0 X 0 2X 2X 0 X 0 X 2X 2X 2X 0 X X 2X 0 X 2X 2X 2X 2X 2X X 0 2X X 0 X 2X 0 X 0 0 2X 0 X 2X 0 2X 2X 2X 0 0 2X X generates a code of length 77 over Z3[X]/(X^2) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+50x^135+186x^138+204x^141+24x^142+214x^144+186x^145+190x^147+432x^148+200x^150+906x^151+178x^153+1104x^154+156x^156+1134x^157+146x^159+474x^160+148x^162+114x^163+128x^165+94x^168+104x^171+76x^174+48x^177+32x^180+20x^183+8x^186+2x^189+2x^204 The gray image is a linear code over GF(3) with n=231, k=8 and d=135. This code was found by Heurico 1.16 in 1.58 seconds.