The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 0 2X 1 1 1 1 1 1 X 1 1 2X 1 X 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 2X+2 2X+1 X+1 2 X+2 1 1 2X+2 1 2 2X+2 1 2X+1 1 2X+2 2 1 0 1 X 1 X+1 0 X+2 2 2 2X+2 0 2X+2 X+2 2 X+2 2X+1 1 2X+2 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 1 0 X+1 2X+1 2X+2 2 2 2 1 2X 2X+2 2X+2 2X X+1 X X+1 2X+2 2X+1 2X+1 2X+2 0 X 1 2X 2 X 2X+1 2 X+1 0 1 2X+2 2 X 2X+1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 2X+1 X+1 2X 2X X+1 2 2X+1 2X 1 X+2 2 0 2X 1 X+1 2X+2 2X 1 0 X 1 2 X+2 2 0 2X 2X+2 1 X+2 0 0 X X 1 X+1 generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+240x^91+342x^92+142x^93+558x^94+540x^95+122x^96+534x^97+630x^98+156x^99+378x^100+486x^101+96x^102+498x^103+402x^104+116x^105+366x^106+264x^107+62x^108+246x^109+180x^110+12x^111+78x^112+66x^113+14x^114+18x^115+6x^116+6x^117+2x^120 The gray image is a linear code over GF(3) with n=150, k=8 and d=91. This code was found by Heurico 1.16 in 0.774 seconds.