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 1 1 1 1 1 1 1 1 1 1 1 1 X X^2 1 X^2 X 1 0 X^3+X^2 0 0 0 X^2 X^3+X^2 X^2 0 X^3 X^3 0 X^2 X^2 X^3+X^2 X^3+X^2 0 X^3 0 X^2 X^3 X^3+X^2 X^3+X^2 X^2 0 X^2 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 X^2 0 0 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^2 0 0 X^3+X^2 X^3 X^3 X^3+X^2 0 X^2 X^2 X^3+X^2 X^3 X^3 X^3 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 0 X^3 X^2 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3 0 0 X^3+X^2 0 X^2 X^2 X^2 X^3 X^3+X^2 X^3 0 X^2 X^2 X^2 0 0 0 X^3 X^3+X^2 X^3+X^2 X^2 X^2 0 X^3 X^2 0 X^3+X^2 0 X^3+X^2 X^3 X^3 X^3+X^2 0 X^2 X^3 X^3+X^2 X^2 X^3 0 X^3+X^2 0 X^2 X^3 X^3+X^2 0 0 X^2 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^3 0 X^2 X^2 X^2 X^3+X^2 X^3 X^3+X^2 0 X^3 0 X^2 0 0 X^3 0 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^2 X^3 0 X^3 X^2 0 0 0 0 0 X^3+X^2 X^2 X^3 X^3+X^2 X^3+X^2 0 0 X^2 X^2 0 X^3+X^2 X^2 X^3 0 X^3+X^2 X^2 X^2 X^3 0 X^3+X^2 X^3 X^3+X^2 X^3+X^2 0 X^3 X^2 X^2 X^3 0 X^3 X^2 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 0 X^2 X^2 0 0 0 X^3 X^2 X^3 X^2 X^2 0 X^3 X^2 X^2 0 X^2 X^3+X^2 0 0 X^2 0 0 X^3 X^2 X^3+X^2 X^3+X^2 X^2 X^3 0 0 X^2 X^3 0 X^3+X^2 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 X^3 0 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 0 generates a code of length 82 over Z2[X]/(X^4) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+59x^76+103x^78+16x^79+196x^80+368x^81+575x^82+368x^83+201x^84+16x^85+77x^86+47x^88+13x^90+7x^92+1x^156 The gray image is a linear code over GF(2) with n=656, k=11 and d=304. This code was found by Heurico 1.16 in 0.734 seconds.