The generator matrix 1 0 0 0 1 1 1 1 X^3+X^2 1 1 X^3 X^3 1 X X 1 1 0 X^3+X 1 X 1 X^3+X^2+X 1 X^2+X 1 X^2+X 1 1 1 1 1 X^3 1 X^2+X X^3+X^2 X^2+X 1 1 0 X^3+X X^2 1 1 1 1 X^2+X 1 X^3+X^2+X X^2 1 X^2 1 1 1 X^3+X^2 X^3+X 1 1 X^3+X^2+X X 1 X X 1 1 1 X^3+X^2+X X^2 0 1 1 X 1 1 0 1 0 0 X X^2+1 X^3+1 X^2 1 X^3+X+1 X^3+X^2+X 1 1 X^3+X^2+X+1 0 1 X^3+X X^2+1 1 0 X^3 1 X^3+1 X X^3+X X^3+X^2 X^3+1 1 0 X^3+X^2+1 X^3+X X^3+1 X^3+X^2+X+1 X^3+X^2+X 0 X 1 1 X X^3+X^2+1 1 X^2 1 X^3+X^2+X X X^3+X X^2+1 X^3+X 1 1 1 X^2+X+1 X^3+X^2+X X+1 X^3+X X^2+1 X 1 X+1 X^2+1 1 X^3 X^2+X+1 X^2+X X^3+X^2 X^3+X^2+X+1 X^2+X X^2 X^3+X^2+X 1 X^3 X^3+X^2 X^2 1 1 X^3 0 0 1 0 0 X^2 1 X^2+1 1 X^2+1 X^3+1 X^3+X^2+X+1 X^2+X X^3+X 1 X^2+X+1 X^2+X X^3+X^2+1 0 X^3+X X^3+X^2+X+1 X^3+X^2+1 X^3+X 1 1 1 X^2+1 X^3+X^2 X^3 X^3+X^2 X X+1 X^3+X^2+X+1 1 X^3 1 X+1 X^2 X^2+X X^3+X X^2+1 X^2 X^2+X+1 X^3+X^2+X+1 0 X+1 X^2+X+1 X^3 0 X^2+X X^3+X^2+1 1 1 X^3 X^3+X^2+X+1 X^2+X+1 1 X^2 X^2+X X^3+X+1 0 1 X+1 X^3+X^2+X 1 X^3+X+1 X^3+X+1 X^2+1 X^3+X X^3+X^2+X+1 1 X^3+X X+1 X^3+X^2+X X 0 0 0 0 1 1 X^2+X+1 X^2 X^3+X^2+X+1 X^2+X+1 X^2+1 X^3+X X^3+X^2+X X+1 X^3+X^2+X X^3+X+1 X^3+X+1 X^2+X+1 X+1 X^3+X^2+X 1 X^3+X+1 0 X^3+X^2+X 0 X^2 X^3+X^2+1 X 1 X 1 X^2 X^2+1 X X X^3+1 1 X^2 X^3+X X^3+X^2+1 X^3+X^2+1 X^3+X^2+1 1 X^3+X^2+1 X^3+1 X X^3+X X^2 1 X^3+X+1 X^3+X^2+X+1 X^3+1 X^3+X^2+1 X^3+X+1 X^3+X X^3 0 1 X^2+X+1 X^3+X^2+X X^2 0 X^3+X^2 X^3+X^2+1 1 X^3+1 X^3+X^2 X^2+1 X^2 1 X^3+X^2+X X^3+1 X^3+1 X X^3+X^2 X^3+X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^2 0 X^3 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^2 X^3 0 X^3+X^2 0 X^2 X^3 X^3+X^2 0 X^3 0 X^3 0 X^3 X^3+X^2 X^2 X^3+X^2 0 X^2 0 X^2 X^3 X^2 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^2 0 0 X^3+X^2 X^3+X^2 X^2 X^3 0 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3+X^2 X^3 X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 generates a code of length 76 over Z2[X]/(X^4) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+196x^67+1112x^68+2840x^69+5703x^70+9754x^71+14865x^72+20190x^73+27449x^74+31516x^75+33818x^76+31986x^77+28523x^78+21166x^79+14896x^80+8874x^81+4858x^82+2420x^83+1112x^84+466x^85+208x^86+104x^87+48x^88+8x^89+11x^90+8x^91+4x^92+4x^93+4x^95 The gray image is a linear code over GF(2) with n=608, k=18 and d=268. This code was found by Heurico 1.16 in 687 seconds.