The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X^2 1 1 X X X X 0 X 0 X 0 X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 0 X X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X X^2 X^2 X^2 X^2 X^2 X X^2 X X^2 X^2+X X^2 X^2+X X^2 X X^2 X^2+X X^2 X^2 X^2+X X X^2 X^2 X X^2+X X^2 X^2 X^2+X X X^2 X^2 X X X^2 X^2 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 X 0 X 0 X^2+X 0 X X X X^2+X X^2+X X^2+X X X^2 X X 0 0 0 X X 0 X^2+X X^2+X 0 0 X^2+X X 0 0 X X^2+X 0 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X X X X X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 0 X X^2+X 0 0 X^2+X X 0 0 X X^2+X 0 0 X^2+X X 0 0 X^2+X X 0 0 X^2+X X^2+X X^2 X^2 0 X^2+X X 0 X X 0 X^2 X^2+X X^2 0 X^2 X^2 X^2 X^2+X X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 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 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+54x^90+56x^91+44x^92+80x^93+80x^94+64x^95+37x^96+48x^97+16x^98+8x^99+9x^100+8x^102+2x^104+2x^106+2x^108+1x^164 The gray image is a linear code over GF(2) with n=376, k=9 and d=180. This code was found by Heurico 1.16 in 0.665 seconds.