The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X 1 X^2+X 1 1 1 0 1 1 1 0 1 1 X^2+X X^2 X 1 1 1 0 1 X^2+X 1 1 1 1 1 X^2 1 1 1 1 1 1 1 1 1 0 X^2 X^2+X X 1 0 X 1 1 1 1 1 1 X^2+X 1 1 1 1 1 X 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+1 1 X^2+X 0 X+1 1 X^2+X X^2+1 1 X^2+1 1 0 X^2+X X+1 1 X^2 X^2+X X^2+X+1 1 X X^2+1 1 1 1 X+1 0 X^2+1 1 0 1 X+1 X^2+1 X^2+X X^2 X 1 X^2+1 X+1 0 X^2+X+1 X^2 X^2+X X^2 X^2+X+1 X 1 1 1 1 X^2 1 0 X X X^2+X X 0 0 1 X^2+X+1 X^2+X+1 X^2+X X+1 X^2 X^2+X X+1 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 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 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 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 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 generates a code of length 76 over Z2[X]/(X^3) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+64x^69+96x^70+154x^71+107x^72+196x^73+137x^74+242x^75+100x^76+220x^77+154x^78+190x^79+94x^80+140x^81+50x^82+54x^83+12x^84+20x^85+4x^86+4x^88+2x^90+2x^94+1x^96+2x^98+1x^104+1x^106 The gray image is a linear code over GF(2) with n=304, k=11 and d=138. This code was found by Heurico 1.16 in 0.716 seconds.