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 X 1 X 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 1 1 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 0 0 0 X^3 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 0 X^3 0 0 0 X^3 0 0 0 0 0 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 0 0 0 0 0 0 X^3 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 0 0 0 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 X^3 0 0 0 X^3 0 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 X^3 0 0 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 0 generates a code of length 83 over Z2[X]/(X^4) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+78x^80+96x^82+768x^83+32x^86+48x^88+1x^160 The gray image is a linear code over GF(2) with n=664, k=10 and d=320. This code was found by Heurico 1.16 in 77 seconds.