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 X 1 1 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 1 1 1 1 1 1 X 1 1 1 0 X^3 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 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 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 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 X^3 0 0 0 X^3 0 0 X^3 0 X^3 0 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 0 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 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 X^3 0 0 X^3 0 0 0 X^3 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 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 X^3 X^3 X^3 X^3 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 0 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 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 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 X^3 X^3 X^3 0 X^3 X^3 X^3 0 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 0 0 0 X^3 0 0 0 0 X^3 0 0 X^3 X^3 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 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 0 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 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 0 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 X^3 0 0 0 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 generates a code of length 85 over Z2[X]/(X^4) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+33x^80+25x^82+48x^83+12x^84+816x^85+8x^86+16x^87+14x^88+16x^89+22x^90+4x^92+8x^94+1x^162 The gray image is a linear code over GF(2) with n=680, k=10 and d=320. This code was found by Heurico 1.16 in 0.469 seconds.