The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 1 X 0 1 0 X 1 1 1 X 1 1 1 X 0 0 1 0 1 1 0 1 1 1 0 1 1 0 X X 1 1 1 0 0 0 1 1 X 0 X 0 X 1 1 X 1 0 X X 0 1 1 1 1 X X 1 0 X X X 1 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 0 1 1 X 1 X X+1 1 0 X X 1 0 1 1 1 X X 0 X 1 X+1 X+1 0 0 X 1 1 1 X X+1 0 1 1 X 1 X+1 1 1 X 1 0 1 X+1 X 1 X 0 0 1 X X+1 X+1 1 1 0 1 X X 1 0 X X 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 0 X X+1 X+1 0 1 0 X+1 X 0 1 0 X X 1 X+1 1 1 X+1 X X X 0 X 1 1 X 1 X 0 X 1 X+1 X X 0 X+1 0 0 1 0 1 X X 0 X+1 0 0 1 X+1 0 X+1 X X X+1 1 0 X+1 1 1 X X X+1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 X X+1 X X+1 X+1 1 X+1 0 1 0 1 1 1 0 1 X+1 X 0 X X+1 X 1 1 X 1 X+1 1 0 0 X X+1 X X 1 X 0 X+1 1 0 1 X+1 1 1 X+1 0 0 1 0 0 0 1 1 1 X 1 X+1 0 X 1 1 X 1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 X 0 X+1 0 1 1 X 0 X X X X X+1 1 0 X+1 X+1 0 1 0 1 X 1 0 1 1 X+1 X 1 X+1 0 0 1 X X 0 X+1 0 0 X+1 1 1 1 X 0 0 1 X X+1 1 X X 1 X X+1 X X+1 1 X+1 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 0 X 0 X X 0 0 0 0 X X 0 0 X 0 0 X 0 X 0 X 0 X X 0 0 X 0 0 0 X X X X X 0 0 0 0 0 0 X X 0 X X X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X X X 0 0 X 0 X 0 0 0 0 X 0 0 X 0 0 0 X X 0 0 X 0 X X 0 X X X 0 0 X X X X X X 0 X X 0 0 X 0 0 0 X X 0 0 X X X X 0 X 0 X X 0 X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+30x^66+78x^67+143x^68+200x^69+208x^70+216x^71+242x^72+246x^73+244x^74+224x^75+231x^76+226x^77+212x^78+188x^79+171x^80+190x^81+172x^82+218x^83+146x^84+114x^85+109x^86+70x^87+69x^88+44x^89+45x^90+22x^91+20x^92+4x^93+3x^94+6x^95+1x^96+1x^98+2x^99 The gray image is a linear code over GF(2) with n=154, k=12 and d=66. This code was found by Heurico 1.16 in 3.04 seconds.