The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 X 1 1 1 X 1 1 1 1 1 1 0 X 0 X 1 1 1 1 1 1 1 1 1 X 1 2X 1 2X 2X 0 0 1 1 1 2X 1 1 1 X X 1 1 1 0 1 1 1 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X 1 X+1 X+2 2X+1 0 2X 1 2X+1 1 2X+2 X+1 2X 1 1 1 0 2X+2 1 X 2X+2 2 2X 0 2X 1 2 1 X+1 1 1 1 2X X 2 X 0 X+2 2 2X 1 X 2 X+1 X 0 1 2 X X X+2 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2 X+2 2X+1 X+2 1 1 X+1 X+2 2 X+1 2 1 1 1 2X+1 2 2X+2 2X+1 2X+1 X+1 2X+2 2X+2 2 X+1 2X+2 2 X+2 2X+1 2 1 2X+1 1 2X+2 X+1 X+1 1 2X 2X+1 2X+2 2X 1 X X 2X+2 X X+1 2X+2 1 X 2X+2 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 X+1 2 2X X+1 X+1 2 X+1 2X+1 X 1 X+1 X+2 2X+1 2X X+1 1 2X 1 1 2X+1 2 X+1 X 2 1 1 X+2 X+2 0 2 X+1 1 2X+2 X+2 0 1 1 2X+1 X 2X 0 0 0 2X 1 X+2 X+2 2 2X 2X 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 0 2X X X+1 2 2X+1 2X+2 0 X+1 2X+1 X+2 2 2X 2X 2X+2 X 2 1 0 2 0 2X+1 1 X 1 2X+2 2X 2X+1 0 1 2X+1 2X 2X+2 1 1 2 2X+1 0 2 2 X X+2 0 0 X 2X 2X+1 1 2 X+1 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+232x^132+582x^133+402x^134+828x^135+1284x^136+984x^137+1472x^138+2166x^139+1338x^140+2094x^141+3150x^142+1542x^143+2588x^144+3750x^145+1788x^146+2800x^147+4086x^148+1926x^149+3154x^150+4020x^151+2142x^152+3026x^153+3390x^154+1440x^155+1754x^156+2166x^157+972x^158+1096x^159+1074x^160+432x^161+460x^162+468x^163+144x^164+146x^165+96x^166+12x^167+28x^168+12x^169+2x^183+2x^186 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 59.8 seconds.