The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 2X 1 2X X 1 X 1 1 1 1 1 2X 1 1 1 1 1 2X X 1 1 X 2X X 1 0 1 1 1 1 1 1 X 1 0 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 2X 2X 1 2X 1 1 2X 1 1 1 1 X 0 1 0 0 0 0 2X+1 X 2 1 2X X+1 1 X+1 1 1 2X+1 1 0 X X+1 X+2 2X 1 2X+1 X+1 2X+1 2X+2 2 1 1 X+1 X 2X 0 1 X+2 1 2X 2 1 2X+2 X 2X+1 1 1 1 X+2 X+1 2 1 2X+1 X X 2X 2X X X+1 0 X X X+1 1 1 2X 1 2X+1 2 0 1 X+1 X+2 2X 1 0 0 1 0 0 0 2X+2 2X+1 2 2X 2X+1 X+2 X 1 X+2 X+1 X 1 X+2 2X+2 1 X X+2 2 2 X 2X X+1 2 X+1 2 2X+1 X+1 1 1 1 0 2 0 2X+1 0 2X X+2 2X+2 X 2X+1 2 2X+2 0 2X+2 2X+1 2 0 1 X X+2 X+2 2X 2X 2 2X 2X+2 X 2X 1 2X+1 X+1 X+2 1 2X 0 0 X X 0 0 0 1 1 2 2X+2 X+1 X 2X+2 2X+2 2X+1 1 2X 0 2 X 1 X 2 X+2 X+1 X+1 2 0 2X+1 2X+2 X+2 2 2X X+1 X+1 X 2X+2 X+1 0 X X+1 2 2X 2 X+2 2X+2 X+2 2X+2 0 X 2X+1 0 X+1 2X+1 2X+1 2X+2 0 X 2X+2 0 X 0 2 2 0 2X+2 1 2X+1 X 2X+1 X+1 X+1 X X+1 2X+2 X X+1 0 0 0 0 2X 0 0 0 0 0 X 2X 2X 2X X 2X X X 2X X X X X 0 X 0 0 0 2X 0 2X 2X X X 2X 2X 2X 0 0 X 2X 2X X X 2X 2X 2X X X 2X X X 2X 0 2X 2X X 0 2X 2X X 0 0 2X X 0 2X 0 0 2X 0 X 2X 2X 0 0 0 0 0 X X 2X 0 X 0 0 0 X 2X 2X 2X X X 0 0 X X 0 X X 0 0 X 2X 2X X X X X 0 0 X 0 X X 0 X 2X X 2X 2X 0 0 2X 2X 0 X X 2X X 2X X 0 2X X X 2X 2X 0 0 X 2X 0 0 0 2X X X generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+644x^132+2424x^135+4320x^138+6498x^141+7718x^144+8920x^147+9282x^150+8084x^153+6080x^156+3422x^159+1164x^162+382x^165+76x^168+20x^171+6x^174+4x^177+2x^180+2x^183 The gray image is a linear code over GF(3) with n=222, k=10 and d=132. This code was found by Heurico 1.16 in 77.7 seconds.