The generator matrix 1 0 0 0 1 1 1 2X 1 1 1 1 1 2X 1 1 0 1 X 0 1 1 1 X 1 X 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 0 2X 1 2X 2X 1 X 1 0 1 0 0 0 1 2X+1 1 0 X 2X+2 2X+2 X+2 X 2X+1 2 1 X 1 1 2 2X+1 X+2 1 2X+1 1 1 2X+2 0 2X 1 X 1 X+1 2X+2 X 0 1 1 1 X+1 1 1 1 0 1 1 1 2X 2 0 0 1 0 1 1 2X+2 2X+1 X+1 2X+2 2X X+1 0 1 X+1 1 0 2X 2X+2 X+1 2 2 X+2 2X 0 X+1 2 1 2X 1 X+1 1 2X+2 1 X+2 0 2X+2 X+2 X+2 0 0 2X 1 1 2 X+2 2X+2 2X 1 X+2 0 0 0 1 2 0 2X+2 2X+2 2X+1 2X X+1 2X 2 X+1 1 2 1 1 2X+2 X+1 2X+1 2X X+2 2 X+1 2X 2X+1 X+1 2X+2 0 2X+2 2 2X+2 X+2 2X 1 X+2 X+1 2X+1 2X+2 2X+1 2X 0 X+1 X+1 2X 0 X+2 1 2X 0 0 0 0 2X 0 2X 2X X 0 X 0 2X X X 2X X X X 2X 2X 2X 0 X 2X 2X 0 0 0 2X X 0 0 0 X 2X 0 2X 0 0 2X X 0 0 X 2X X 2X 0 0 0 0 0 0 0 X X 0 2X 2X 2X 0 X X X 2X 0 0 X X X 0 0 2X 2X X 2X X 2X 2X X X X 2X 0 2X 0 0 0 0 X 0 2X X 0 2X X 2X 0 X generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+156x^85+198x^86+430x^87+846x^88+582x^89+1212x^90+1788x^91+1044x^92+1870x^93+2898x^94+1674x^95+2918x^96+4584x^97+2520x^98+3858x^99+5094x^100+2544x^101+3862x^102+4908x^103+2202x^104+2942x^105+3570x^106+1536x^107+1826x^108+1812x^109+624x^110+572x^111+516x^112+192x^113+120x^114+72x^115+6x^116+42x^117+10x^120+14x^123+4x^129+2x^132 The gray image is a linear code over GF(3) with n=150, k=10 and d=85. This code was found by Heurico 1.16 in 35.8 seconds.