The generator matrix 1 0 1 1 1 X^2 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X X 1 1 1 0 1 1 1 X 1 X^2 1 1 X^2+X 1 1 X^2 1 X 1 1 X^2 1 X^2+X 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 X^2 X^2 X^2 X 0 1 1 0 X+1 1 X^2+X+1 0 1 0 X^2+1 1 X^2 X+1 1 0 X+1 1 X^2 1 1 1 0 X^2+1 X^2+X 1 X^2+1 X X^2+X+1 1 X^2+1 1 X X^2+X+1 1 0 X+1 1 X^2+1 1 X X^2 1 X^2+X+1 1 X^2+1 X^2 0 X^2 X^2+X X^2+X X X^2+X 0 X^2+X 0 X X^2 X^2+X X^2+X X 0 0 X X^2+X X 0 X^2+1 1 X^2+X+1 1 X^2 X^2+X+1 1 X^2+1 X^2+X+1 X+1 1 1 1 1 X+1 X+1 X^2+1 X^2+X+1 X+1 1 1 X^2 X^2+1 1 X^2+X+1 X^2+X+1 X^2+X X^2 X 0 X^2 X^2+X 0 0 X 0 0 0 0 X X X X X X^2 X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X X 0 0 X^2+X X^2 X^2 X X X^2+X X^2 X^2 X X^2+X 0 0 0 X X^2+X X 0 X^2 0 X^2+X X X^2+X X^2+X X^2 X^2 X^2 X X X^2 X^2+X X^2+X 0 X^2 0 X^2+X X^2+X X 0 X X^2+X X^2+X 0 X^2 X^2 X X^2+X 0 X X^2+X X^2 X 0 X^2 X^2 X 0 X^2 X^2 0 X^2 X^2 X X 0 X^2 X^2 X^2+X X^2 X X X 0 0 0 X X^2 X^2+X X^2+X X X^2 X^2 X^2+X X 0 X^2 0 X X^2+X X^2+X X^2 0 X X^2 X X^2+X X X X^2 X 0 X^2+X X X^2 0 X 0 0 X X X X^2+X X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2+X X^2+X 0 X^2+X X^2+X X^2+X X 0 X 0 X^2 X^2+X X^2+X 0 X^2 X^2+X 0 0 X^2+X X^2 X X^2 X^2 X 0 X 0 X^2+X X^2 X X^2 0 X^2+X X^2+X X^2+X X X^2 0 0 X X^2+X 0 X^2 X X X X X^2+X X generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+76x^94+42x^95+228x^96+44x^97+156x^98+62x^99+131x^100+56x^101+80x^102+18x^103+62x^104+8x^105+20x^106+2x^107+8x^108+16x^109+4x^111+1x^112+4x^113+4x^126+1x^148 The gray image is a linear code over GF(2) with n=396, k=10 and d=188. This code was found by Heurico 1.16 in 0.776 seconds.