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 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 1 1 1 1 1 X 1 X 1 0 X 1 0 1 0 X 0 X 0 0 X X 0 0 X X 0 X^2 X X^2+X X^2 X^2 X^2+X X X^2 0 X^2+X X X^2 X^2+X 0 X 0 X^2 X^2+X X^2+X 0 X X^2+X X^2 X X^2 0 X^2+X X X^2 X^2 X 0 X X^2+X 0 X^2+X 0 X^2+X X^2+X X^2+X 0 X^2 0 X X X^2 X^2+X X^2 X^2 X^2+X 0 X X^2 X^2+X X^2 X X X^2 X^2 X X X^2 X^2+X X^2 0 0 X^2+X X^2+X X 0 0 0 X X 0 0 0 X X 0 X^2+X X 0 X^2+X 0 X 0 X^2+X X^2 X^2+X 0 X X^2 X 0 X 0 X X^2 X 0 X^2 X^2+X 0 X^2+X X X^2 X^2 X 0 X X^2 0 X X^2+X 0 X^2 X X^2+X X X^2+X X^2 X^2 0 0 X^2+X X^2+X X^2 X^2 X^2+X X X 0 X^2 X^2 X^2+X 0 X^2+X X X^2+X X 0 X X^2 0 X^2 X^2 0 X^2+X X^2+X X^2 0 X^2+X X X^2 X^2+X X^2+X X^2+X X X^2+X X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 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 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+63x^82+99x^84+32x^85+146x^86+96x^87+191x^88+96x^89+119x^90+32x^91+69x^92+49x^94+20x^96+6x^98+3x^100+1x^102+1x^164 The gray image is a linear code over GF(2) with n=352, k=10 and d=164. This code was found by Heurico 1.16 in 0.604 seconds.