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 X 1 X X X 1 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 X X X X X X X 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 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 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 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 0 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 0 0 0 0 0 0 X^3 0 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 X^3 X^3 X^3 0 X^3 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 0 X^3 X^3 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 0 X^3 X^3 0 0 0 0 0 0 X^3 0 X^3 0 0 X^3 0 0 0 0 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 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 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 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 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 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 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 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 X^3 0 0 0 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 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 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 generates a code of length 84 over Z2[X]/(X^4) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+103x^80+816x^84+100x^88+3x^96+1x^144 The gray image is a linear code over GF(2) with n=672, k=10 and d=320. This code was found by Heurico 1.16 in 94.3 seconds.