The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 0 1 X 1 1 1 0 1 1 1 1 1 1 1 0 X X 1 X 1 1 0 X 1 1 0 1 X 1 1 1 0 0 1 0 1 1 0 1 1 X 0 0 1 1 X 0 1 X 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 1 0 1 X+1 0 0 1 X+1 X 1 1 0 X 1 1 1 1 1 1 1 0 1 1 1 X 1 1 1 0 X 1 1 1 0 1 X 1 1 X+1 1 1 1 1 0 X 1 1 X+1 1 1 X+1 X+1 0 X 1 X+1 0 X+1 X+1 1 1 X+1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X X 0 0 0 X X 0 X 0 X X 0 X X 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 0 X 0 X 0 X X 0 X X X X X 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X X X 0 X X X X X 0 X X X 0 X X 0 0 X 0 X X 0 X X 0 0 0 0 X X 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 X 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X X X X 0 X 0 X 0 X X 0 0 X X 0 X 0 X 0 X X 0 0 X X X 0 X X 0 X X X X X X 0 X 0 0 0 X 0 X 0 X X X X X X 0 0 0 X 0 X X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X 0 X 0 0 0 0 X X X 0 0 X 0 X X X 0 0 0 0 0 X X X X 0 X 0 X 0 0 X X X 0 X X 0 0 0 X 0 X 0 X 0 X 0 0 X X 0 X X X 0 X 0 X X X X 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X 0 X X X 0 0 0 X 0 X 0 X X 0 0 X 0 0 X X X X X X 0 0 X 0 0 0 X 0 0 X 0 0 0 X X 0 X 0 X X 0 0 X 0 0 X 0 0 X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X 0 X 0 X X X 0 X X X X X X 0 X 0 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 X 0 X X 0 X X X 0 X X 0 0 0 X X 0 0 X X 0 0 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 0 X 0 X X X 0 X 0 X 0 0 0 X X 0 0 X X X 0 X X X 0 X 0 0 X 0 0 X X 0 X X 0 0 X X 0 X X X X X 0 0 X X 0 0 X 0 X X 0 X X X X 0 X generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+44x^76+149x^78+203x^80+216x^82+234x^84+221x^86+204x^88+222x^90+211x^92+145x^94+88x^96+44x^98+22x^100+16x^102+6x^104+6x^106+8x^108+4x^110+2x^112+1x^118+1x^124 The gray image is a linear code over GF(2) with n=174, k=11 and d=76. This code was found by Heurico 1.16 in 1.13 seconds.