The generator matrix 1 0 0 1 1 1 0 X 1 1 1 1 0 0 X^2 X X 1 1 1 1 X^2+X 1 1 X^2+X X 1 1 1 X^2 X^2+X 1 X^2+X 1 0 1 1 1 1 1 X^2+X X^2 1 1 X^2+X X^2 1 0 1 1 X^2+X X X X^2 1 1 1 X^2 1 1 1 0 1 1 1 X X^2+X 1 0 1 0 X 1 1 1 1 X^2+X X 1 X^2 X^2 1 1 1 0 1 X^2 X^2 X^2+X 1 1 X^2+X 1 X 0 1 0 0 1 1 1 X^2 X^2 X^2 X^2+1 X^2+1 1 1 X X^2+X 1 X X^2+X+1 0 1 1 X+1 X^2+X 1 1 X^2+X+1 X^2+X X+1 1 0 X^2+1 1 X 1 X^2 X+1 X^2 X X^2+X X^2+X 1 X+1 X 1 X X^2 X^2 X X+1 1 1 1 1 X^2+X X^2+X+1 X^2 1 X^2+X+1 X^2+X 1 1 X^2+X X^2+X 0 X^2+X 1 1 X 1 1 1 0 X^2+X 0 X^2+X+1 X X^2+X X X^2+X 0 X 1 1 X X+1 0 1 1 X^2+1 X+1 1 1 X^2+X 0 0 1 1 X^2 X^2+1 1 1 X X+1 X^2+X X^2+X+1 X X^2+X+1 1 1 1 X X+1 X X^2+X+1 X^2+X X^2+X X^2+X+1 X^2 X+1 X+1 X^2+1 0 0 1 1 1 X+1 1 X^2 X^2+X X^2+1 X^2+1 X^2 1 X^2+X 1 X X^2 1 X^2+X+1 1 X^2+1 X^2+1 X X^2+X+1 X+1 X^2+1 0 X X^2+X+1 1 X^2+X 1 0 X^2+X+1 X^2+X+1 X+1 X+1 0 X^2+X+1 X^2 0 X^2+X X^2+X X X^2+X X 0 1 1 X 1 1 1 X^2 X+1 X+1 1 X^2+X+1 1 X^2+X+1 X^2+1 X^2+1 X+1 0 X X^2+X 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 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+154x^90+120x^91+196x^92+108x^93+113x^94+44x^95+50x^96+72x^97+48x^98+12x^99+32x^100+16x^101+13x^102+16x^104+8x^105+12x^106+4x^110+1x^112+4x^113 The gray image is a linear code over GF(2) with n=376, k=10 and d=180. This code was found by Heurico 1.11 in 0.407 seconds.