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 X 1 1 1 1 1 1 X 1 X 1 1 X 1 1 X 1 1 0 X 0 0 0 0 0 0 0 X X X 0 X 0 0 X 0 X X 0 0 0 0 0 0 X X 0 X 0 X 0 0 0 X X X 0 X X X X 0 0 X 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 X X 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 X X X X 0 0 0 X 0 X X 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 0 0 X X X X 0 0 0 0 X X 0 X 0 0 X X X 0 0 0 X X 0 0 X X X X X 0 X X 0 X X 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X X X X 0 X X 0 X X X 0 X 0 0 X X 0 X X 0 0 0 X 0 0 0 0 X 0 0 X 0 X X X 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 X 0 X X X 0 0 X X 0 0 X X X X X 0 0 X 0 0 0 0 X X X X 0 0 0 X 0 0 0 0 X X X 0 0 X X 0 0 X X 0 X 0 0 0 0 X X 0 X X 0 0 X X X X 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X X 0 0 0 X 0 X X 0 0 0 X X 0 X 0 X X 0 0 0 0 X 0 0 X X X X 0 X X 0 0 X 0 X 0 0 X X 0 X 0 0 0 X X X X X 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 0 0 X X 0 X X X 0 0 0 X X 0 0 0 0 X 0 X 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 X X 0 0 X X X 0 0 0 X 0 X X X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 0 X X 0 X X 0 0 0 X 0 0 X X 0 0 X X X 0 0 0 X X 0 0 X 0 0 X 0 0 X X X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 0 0 0 X 0 generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+29x^66+41x^68+16x^69+35x^70+48x^71+25x^72+64x^73+25x^74+64x^75+23x^76+48x^77+12x^78+16x^79+25x^80+15x^82+5x^84+9x^86+5x^88+2x^90+3x^92+1x^138 The gray image is a linear code over GF(2) with n=148, k=9 and d=66. This code was found by Heurico 1.16 in 0.175 seconds.