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 X 1 0 1 1 1 1 1 1 X 1 X 1 X 1 X 1 1 0 X 0 X 0 0 X X X^2 0 X X^2+X X^2 0 X X^2+X 0 0 X X^2+X 0 X^2 X X X 0 X^2 X^2+X X^2 X^2 X^2+X X^2+X X^2+X 0 X^2+X 0 X^2 X X^2+X 0 X^2 X^2 X^2+X X 0 X 0 X^2+X X^2 X 0 X^2+X X^2+X X X^2 X X^2+X 0 X^2+X X 0 0 X^2 X^2 0 X^2+X X^2 X^2 0 X^2 X X^2+X 0 X X^2 0 X^2 X^2 X X^2+X 0 0 X X 0 X^2+X X 0 X 0 X^2+X X^2 X 0 X^2+X X^2 X 0 X 0 X^2 X 0 X^2+X X 0 X 0 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2 X^2+X X^2+X 0 X^2+X X X^2 X 0 0 X X^2 X X^2 X^2 X^2 X^2+X X^2 X^2 X X^2 X^2+X X^2 X X^2 X X^2 X^2 X^2 0 X^2 X X X^2+X 0 X^2+X X 0 X^2+X 0 X X 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 generates a code of length 80 over Z2[X]/(X^3) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+45x^74+116x^76+48x^77+105x^78+256x^79+47x^80+128x^81+45x^82+64x^83+79x^84+16x^85+39x^86+12x^88+22x^90+1x^148 The gray image is a linear code over GF(2) with n=320, k=10 and d=148. This code was found by Heurico 1.16 in 0.441 seconds.