The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 0 1 1 1 1 0 1 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X 2X 1 1 1 X 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 2 1 1 2X+1 2 0 X+2 1 2 2X+1 0 X+1 1 2X+2 0 2X+1 1 2 X X 2 2X+1 1 X 1 1 1 X X X+1 2X 1 X 1 X+2 1 1 2X+1 1 2X+1 1 X 2 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X X 2X 2X X 2X 2X X 2X 0 X X 2X X 0 X 2X X 2X 0 2X 0 X 0 2X X 0 X 0 2X 0 2X 0 X 0 2X 2X X X 0 0 X X 2X X 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 2X 2X 2X X 2X 0 2X 0 X 2X 0 X X X 2X 0 2X 0 X X 0 X 2X 2X 2X 2X X 0 X 2X 2X 0 0 X X 2X 2X X 2X X 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X X 0 0 X 2X 2X 0 0 2X 0 X 2X 2X X X 0 X X X 0 2X X 0 0 2X 2X 0 2X X 0 0 X X 0 X 0 0 2X 2X 0 2X 2X X X 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 0 X 2X X 2X X X 0 0 X X X 0 0 0 X 2X X 0 0 2X 2X 0 2X 2X 2X 2X 0 X 2X 0 0 0 X 2X X X 0 2X 2X X X X 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X 0 X 2X X 0 0 0 X 2X X 2X X 0 2X 0 0 X 0 0 2X X 2X 2X X 2X X 2X X X 2X 0 2X X X 2X 2X 0 2X 0 2X 0 0 0 X generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+72x^99+54x^101+248x^102+330x^104+390x^105+750x^107+602x^108+1494x^110+806x^111+2316x^113+962x^114+2820x^116+1094x^117+2592x^119+932x^120+1920x^122+700x^123+696x^125+350x^126+126x^128+170x^129+24x^131+102x^132+62x^135+56x^138+4x^141+6x^144+2x^147+2x^150 The gray image is a linear code over GF(3) with n=174, k=9 and d=99. This code was found by Heurico 1.16 in 6.02 seconds.