The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 1 X 0 1 1 0 1 0 0 X 1 X 1 1 1 0 1 1 X 1 X X 0 0 1 1 1 X 0 X X 1 1 1 1 1 0 0 0 1 1 X X X 1 1 1 1 0 1 1 0 1 X 1 1 0 1 1 1 X 1 X 1 1 1 X X X 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 0 1 1 X+1 X X 0 0 1 1 1 1 X+1 X 1 1 X+1 X 0 X+1 1 X X 1 1 1 X+1 1 1 1 X X 0 0 X 1 1 0 X X 1 0 1 X 0 0 0 X 1 1 1 0 X X 0 0 0 X+1 X X+1 0 0 1 1 X 1 0 0 1 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 0 X X+1 1 0 0 X+1 1 X+1 0 0 1 X X+1 0 X X+1 X 1 X+1 0 1 X X X X+1 X 0 1 X 1 X+1 1 0 0 X+1 X X X 0 0 1 X+1 X X 1 0 1 0 0 1 1 1 0 X+1 0 X 0 0 1 1 X 1 X+1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 X X+1 X+1 0 1 1 X+1 1 1 1 0 X+1 X X 1 X 0 X+1 1 1 0 X 0 X X+1 X 1 0 0 0 0 X+1 1 1 X+1 0 1 1 0 X X+1 X 1 0 X+1 1 X+1 1 X+1 0 0 1 1 X+1 X 1 X+1 X 0 0 0 0 X+1 1 X X+1 X 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 1 X+1 X+1 X 0 0 X+1 0 X 0 X 1 1 0 1 X+1 X 1 1 X+1 X+1 X+1 1 X+1 X+1 X+1 0 1 0 1 X 0 0 1 X X+1 X 1 1 X+1 X X X+1 1 X+1 X X 1 0 1 X X 1 X 0 X+1 0 X+1 X+1 X+1 X+1 0 X+1 1 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 X X X 0 0 0 0 X X X X 0 0 X 0 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X X X 0 0 X X X X X X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X X X 0 X 0 0 0 0 X X 0 0 0 0 X 0 0 X X 0 X 0 0 0 X 0 X X X 0 0 0 0 X X X X X 0 X 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 0 X X 0 X 0 X X X X 0 0 0 generates a code of length 83 over Z2[X]/(X^2) who�s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+52x^72+96x^73+159x^74+196x^75+236x^76+218x^77+234x^78+226x^79+189x^80+226x^81+222x^82+224x^83+212x^84+222x^85+160x^86+176x^87+166x^88+154x^89+147x^90+130x^91+106x^92+88x^93+62x^94+60x^95+46x^96+20x^97+32x^98+10x^99+14x^100+8x^102+2x^103+2x^104 The gray image is a linear code over GF(2) with n=166, k=12 and d=72. This code was found by Heurico 1.16 in 3.11 seconds.