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 1 0 1 X^2+X 1 1 1 1 X 1 1 0 1 1 1 X^2 1 X^2+X 1 X 1 1 X^2 1 X^2 1 X 1 1 1 0 1 X^2+X X^2+X X 1 1 1 1 1 X^2 1 1 1 1 X^2 1 1 1 X^2+X 1 1 X^2+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 X+1 1 X^2+1 1 0 0 X^2+X X^2+1 1 X^2+X X+1 1 0 X^2+X+1 X^2 1 X^2+1 1 0 1 X^2+X X^2+X+1 1 X^2 1 X^2+X 1 X^2+X 1 X+1 1 X 1 1 1 X X^2+1 X^2+1 1 X^2+X+1 X X^2 X^2+1 X+1 X+1 X^2 X X 0 1 X^2+X+1 X^2+1 1 0 X+1 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 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 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 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 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 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 X^2 X^2 X^2 X^2 X^2 0 0 generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+46x^67+78x^68+184x^69+155x^70+224x^71+118x^72+204x^73+97x^74+196x^75+116x^76+196x^77+112x^78+160x^79+64x^80+52x^81+12x^82+14x^83+5x^84+4x^85+1x^86+3x^90+4x^94+1x^96+1x^100 The gray image is a linear code over GF(2) with n=296, k=11 and d=134. This code was found by Heurico 1.16 in 0.449 seconds.