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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 X 1 X 1 1 X 1 1 1 1 0 X^2 1 X 1 1 1 X 1 X 1 0 X 0 0 0 X^2 0 X^2 0 X X X^2+X X X^2+X X^2+X X X^2 X X^2+X X 0 X^2 0 X X^2 X 0 X^2 X^2+X X^2+X X 0 X^2+X 0 X^2+X X^2+X 0 X^2+X X^2 X^2 X^2+X 0 X X^2 X^2+X 0 X^2+X X^2+X X^2 X^2+X X^2 X^2+X X 0 X^2 X^2 X^2+X X X^2+X X^2 X X X^2+X X X 0 X^2+X 0 0 X^2 X^2+X 0 X X X 0 X 0 X X^2+X X^2 0 0 X^2+X X^2 0 X^2 0 0 X^2 X^2 X^2+X 0 X^2 0 0 0 X 0 0 X^2 X X X X^2+X X X^2 X X^2+X 0 0 0 X^2 X X^2+X 0 X X^2+X X^2 X^2+X X X^2 X 0 X^2 X X^2 X X^2+X 0 X^2+X 0 X^2 0 X 0 X^2+X 0 X X^2+X 0 X^2 X X^2 X X 0 0 X^2 0 X^2+X X^2 X^2+X X 0 X^2+X X 0 X^2 X^2 0 X X^2 X^2+X X^2 X^2 X X^2+X X^2 0 X^2+X 0 X X^2 X^2 X X^2 0 X^2+X 0 X X^2+X X X X^2 X^2 X^2 X 0 X^2 0 0 0 X 0 X X X^2+X X^2 0 X X 0 X^2+X X X^2 X^2+X X X^2 X^2+X 0 X^2 X X^2 X X^2 X 0 X^2+X 0 X^2+X 0 X^2+X 0 0 X^2 X^2 X^2+X X^2+X 0 X^2+X X^2+X 0 X^2+X X^2+X X^2 X^2 X^2 X 0 X^2+X X^2+X X X^2 0 0 0 X^2+X X^2 X^2+X X^2 X^2+X 0 0 X X^2 X X^2+X X^2 0 X^2 X^2+X X^2+X X^2+X X 0 X^2+X 0 X X^2+X 0 X^2 X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 0 0 X^2 X 0 0 0 0 0 X X X^2 X X^2+X X X 0 0 X^2 X X 0 X^2+X X^2+X X X^2 X^2 0 X X^2+X 0 X^2+X X 0 X^2 X^2 X^2+X 0 X^2 0 X^2+X X^2+X X^2 X X^2+X X^2+X X X^2+X 0 X 0 X^2+X 0 X^2 X X^2 X^2 X^2+X X^2+X X^2 0 X^2+X X^2 X^2 X^2+X 0 X X X^2+X 0 X 0 X^2 0 X^2+X X^2 X^2+X 0 X X^2 X^2+X X^2 X^2+X X^2 X X^2 X X^2+X X X 0 0 X 0 X^2+X X X^2 X 0 0 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+183x^88+8x^89+96x^90+60x^91+221x^92+264x^93+72x^94+360x^95+133x^96+264x^97+40x^98+60x^99+102x^100+8x^101+34x^102+86x^104+6x^106+37x^108+6x^110+4x^112+2x^114+1x^168 The gray image is a linear code over GF(2) with n=380, k=11 and d=176. This code was found by Heurico 1.16 in 1.61 seconds.