The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 0 1 1 1 1 2X 1 1 0 1 0 2X 1 0 1 1 1 2X 0 1 1 2X 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 2X+1 2 1 1 2X+1 2 0 2 0 1 0 2X+1 X+1 2X+1 1 2 X+2 1 X 1 1 X+2 1 2X+1 X+2 X 1 1 2 X+2 1 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 2X 2X X 2X X 2X X 2X X 0 X 0 2X 2X 2X 0 2X X 2X 0 2X 0 2X 2X 0 2X 2X X 2X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X X X 2X 0 X X 2X 0 X 0 X 2X X X 2X 2X 0 X X 0 2X 2X X 2X 2X X 0 0 0 0 X 0 0 0 X 2X 2X X 2X X 2X 0 2X 0 X X X X X X 0 0 X X X 2X 2X 2X 0 X X X 0 0 X 0 X X 2X X 2X X 0 0 0 0 0 2X 0 X 2X 2X 2X 0 X 0 2X X X 0 X 2X 0 2X X 0 X 0 0 0 2X 2X X 2X 0 2X 2X X 2X 2X 0 X 0 X 2X X 2X 0 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X X X 0 2X 2X 2X 0 2X 2X 0 X 0 2X X 0 0 0 X 0 2X 2X X 2X 0 X X 0 2X X 2X 2X X X generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+42x^75+6x^76+6x^77+156x^78+102x^79+96x^80+216x^81+360x^82+420x^83+196x^84+750x^85+948x^86+256x^87+1368x^88+1590x^89+220x^90+2016x^91+2256x^92+210x^93+1956x^94+2118x^95+264x^96+1386x^97+960x^98+186x^99+648x^100+294x^101+156x^102+150x^103+60x^104+114x^105+6x^106+98x^108+44x^111+20x^114+8x^117 The gray image is a linear code over GF(3) with n=138, k=9 and d=75. This code was found by Heurico 1.16 in 4.26 seconds.