The generator matrix 1 0 1 1 1 X^2 1 1 0 1 1 0 1 1 X^2 1 1 X^2 1 X^2 1 1 1 X^2 X^2 1 1 1 1 X^2+X 0 1 1 X 1 0 1 X^2 1 1 1 X^2+X 1 X^2 1 X^2+X 1 X^2+X 1 1 0 1 X^2+X 1 1 1 1 1 1 1 0 1 1 1 1 X^2+X X^2+X 1 1 1 1 1 1 X 1 X^2+X 1 X X 1 X 1 1 X X^2 1 1 1 1 1 1 1 X 1 0 X^2+X 1 X X 0 1 1 0 1 1 X^2 X+1 1 1 0 1 X+1 0 1 X+1 0 1 X+1 1 0 X^2+1 0 1 1 X^2 X^2+1 X^2+X 1 1 1 X^2+X X 1 X^2+1 1 X 1 X^2 1 0 1 0 1 X^2 1 X^2 1 X X+1 1 X^2+X+1 1 1 X^2+X X^2+X+1 X^2+X X^2+1 X^2+X+1 X^2+X 1 X^2+X X^2+X+1 0 X+1 1 1 X^2+X+1 X^2+X X^2+1 X X^2 X 1 X^2+1 1 X^2+1 1 X^2 X^2+X 1 X^2+1 0 1 1 X^2+1 X+1 1 X^2 X+1 X+1 1 0 X^2+X+1 X 1 0 1 1 0 0 X 0 0 0 0 0 0 0 0 0 0 X^2+X X^2+X X X X^2+X X^2+X X X^2+X X X^2+X X^2+X X^2 X^2 X 0 X^2 X^2 X^2 X^2+X X^2 X X^2 X^2+X X^2+X X X^2+X X X^2+X X^2 0 X^2+X X^2+X X^2 X^2 X^2+X X^2 0 X^2+X X X^2 0 0 X^2+X X^2+X X X X X^2 0 0 X X^2 X^2+X 0 X^2+X X^2 X^2+X X^2 X^2+X X X X^2+X X^2 X X^2+X X X^2+X 0 0 X X^2+X 0 0 X^2 0 X X^2 X 0 X 0 X^2+X X X^2 X^2 0 0 0 0 X 0 0 X^2 X^2 X^2+X X^2+X X X X^2+X X^2 X X^2 X^2+X X X X^2 0 X^2+X X^2+X 0 X 0 X^2 X^2 0 0 0 X^2 X X^2+X X^2+X X^2 X X X^2+X X 0 X^2 X^2 X^2+X X^2+X X X 0 X^2+X X X^2 X X 0 X 0 X^2 0 X X^2+X X X^2 0 X^2 X 0 X X X^2 X X^2 X 0 0 X X^2+X X^2 X X 0 0 X 0 X^2 0 X^2+X X^2 X 0 0 X^2 X^2+X X^2 X^2+X X^2+X X^2+X X X X^2 0 0 0 0 X X^2+X X^2+X 0 X X^2 X X^2 X^2+X X^2+X X^2+X X^2+X X^2 0 X^2 X 0 X^2+X X X^2 X^2 X^2+X X^2 X^2 X X^2 X^2+X X X X X^2+X X^2+X X^2+X X^2 X^2 X X^2 X^2 X^2 X X^2+X 0 X^2 X^2 X X^2 X^2 0 X X^2 0 X^2 X^2 X X 0 X^2+X X X X 0 0 X X X^2 X X^2+X 0 X^2 X^2+X 0 X^2 X X^2 0 X 0 X^2+X 0 X^2+X X X^2 X^2 X^2 X^2 X^2+X 0 X X^2+X X X^2 X X^2+X X^2+X X generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+378x^92+510x^94+712x^96+532x^98+644x^100+502x^102+410x^104+226x^106+96x^108+20x^110+26x^112+2x^114+22x^116+8x^120+4x^124+3x^128 The gray image is a linear code over GF(2) with n=396, k=12 and d=184. This code was found by Heurico 1.16 in 13.1 seconds.