The generator matrix 1 0 0 1 1 1 0 1 X X^2 1 1 X^2+X 1 1 X^2 1 X 0 1 1 X^2+X 1 1 1 X^2 1 X X 1 1 1 X^2+X 1 0 1 X^2+X 1 1 1 X X 1 1 0 X 1 1 X 1 0 X 1 X^2 1 1 X^2 X^2 X^2+X 1 X X^2+X 1 X^2+X 1 0 1 1 X 1 X^2+X X^2 X^2 X^2 X^2+X X^2+X 1 1 1 1 1 1 1 1 1 1 X^2+X 1 1 1 0 1 0 1 0 1 1 X 1 0 1 0 0 1 1 1 X 1 X^2+X X^2+X X^2+1 1 X+1 X^2 1 X^2+X+1 0 1 X+1 0 1 1 X^2+X 0 1 X+1 X 1 X X X+1 1 0 1 X^2+1 X^2+X X+1 X^2+X X^2+X+1 X^2 1 1 X^2+X+1 1 0 X^2 X 1 X^2+1 1 1 X 0 X^2 X^2 1 1 1 X 0 1 X^2+1 X X^2 1 X^2+1 X^2+1 X X+1 1 1 1 X 1 1 0 0 X^2 X^2+X X+1 X X^2+X X^2+X X^2+X+1 0 1 X+1 X+1 X^2+1 1 X+1 1 X^2+1 1 X X^2+1 1 X^2 0 0 1 X+1 X^2+X+1 0 X+1 1 X^2 1 0 1 1 0 X^2+1 X 1 1 X^2+1 X X^2+X X X 1 X^2 X^2+1 X^2+X+1 1 X+1 X^2+X+1 X^2+X X X^2+X X X^2 0 1 X+1 0 0 1 X^2+X+1 X^2+1 X^2 X^2+X 1 X^2+1 X^2+X+1 1 1 0 0 X^2+1 1 X^2+X X^2+X+1 1 X 1 X^2 1 X^2 X+1 1 X^2+X+1 X+1 X^2+X X^2 1 1 0 X^2+X X+1 1 X^2+X X^2+X+1 X X+1 X^2+X+1 X^2+X 0 X^2+X+1 X^2+1 X^2+X X X^2+1 X^2+X X^2+X X X X^2+X X X^2+X+1 1 X 1 X^2+X X+1 X 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 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+131x^92+176x^93+414x^94+308x^95+490x^96+300x^97+396x^98+196x^99+380x^100+200x^101+282x^102+112x^103+140x^104+84x^105+128x^106+68x^107+97x^108+64x^109+54x^110+20x^111+36x^112+8x^113+4x^114+3x^116+2x^118+1x^120+1x^124 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 1.7 seconds.