The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 2X 0 1 2X X 1 1 1 1 0 X 1 2X 1 1 1 1 0 1 X 1 1 1 1 1 1 2X 1 1 0 0 0 1 1 X 0 1 1 1 X 1 1 1 2X 1 X 1 1 2X 1 2X 1 2X 0 1 1 1 1 1 0 1 0 0 0 2X 2X 1 X+1 2X+2 2 2X+1 X 2X+1 1 1 2X+2 0 1 2 0 X+1 2X+1 1 2X X 1 2X 1 2X+1 2X 1 X 1 2 2X+2 1 2X+2 2X+1 X+2 1 X+2 2 1 1 1 2X X+2 1 1 1 2X+2 2 1 2X+1 1 0 1 X 1 1 1 1 X+2 1 X 1 2X 2 2X 2X+2 X+1 X 0 0 1 0 0 2X+1 2 X+2 1 2X 2 X+2 X 2X+2 X+1 2 X+1 1 2X+1 2 1 0 2X X+2 1 2X+2 X+1 2 X+1 X 0 0 X+2 2X+1 2X 2X+1 1 2X+2 2X X+2 X+2 X+1 X X 2 2X X+2 X X 2X+1 2 X 2X+1 X+2 X+2 X X 2X+1 2X+1 2X+1 2X+1 0 2 1 X+2 2X+2 1 1 1 2X+1 X 2X 2X 0 0 0 1 1 2X+2 2 2X+1 2X+1 1 X+2 2X 2X+2 X+2 2X+1 2 X+2 2X+2 X+2 2X+1 1 2X+2 0 X X+1 X 0 X+1 2 2X+1 2X+1 1 2X+2 1 2 X 2X+2 X+1 2 2X X 0 1 0 1 X+2 X 2X 2X+2 2X+2 2X+1 2X+2 2X+1 2X+2 0 X X 2X X X+1 2X X+1 2 X+2 X+1 X+1 2X+1 2X+2 X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 X 0 X 2X 0 X X X X 2X 0 X X X X 0 2X X X X X 2X X 0 X 2X 0 X 2X 0 0 2X 2X X X X 2X X 0 X 2X X 0 2X X 2X X 2X X X 0 2X 0 2X X 0 X 2X generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+118x^132+114x^133+402x^134+506x^135+390x^136+858x^137+674x^138+594x^139+1326x^140+988x^141+642x^142+1326x^143+876x^144+564x^145+1236x^146+962x^147+666x^148+1206x^149+840x^150+558x^151+1092x^152+726x^153+456x^154+678x^155+552x^156+210x^157+432x^158+224x^159+162x^160+150x^161+76x^162+12x^163+36x^164+8x^165+6x^166+6x^167+6x^168+2x^171+2x^177 The gray image is a linear code over GF(3) with n=219, k=9 and d=132. This code was found by Heurico 1.16 in 8.22 seconds.