The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 X^2 X X 1 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 0 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 X^3+X^2 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 X^3 X^3+X^2 X^2 X^3+X^2 X^2 0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 0 0 0 X^3 0 0 0 X^3 0 0 0 0 0 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 0 0 0 0 X^3 0 0 0 X^3 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 0 X^3 0 0 0 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 generates a code of length 87 over Z2[X]/(X^4) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+9x^82+24x^83+34x^84+160x^85+26x^86+528x^87+18x^88+160x^89+26x^90+24x^91+8x^92+2x^94+1x^96+2x^100+1x^162 The gray image is a linear code over GF(2) with n=696, k=10 and d=328. This code was found by Heurico 1.16 in 0.782 seconds.