The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 X 1 X 0 X 1 1 X 0 1 1 1 1 X 1 X 0 0 0 1 1 1 1 0 X 0 1 0 1 0 0 0 1 1 X 1 1 0 1 1 0 X 1 1 1 1 X 0 1 1 0 X X 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X X 0 1 1 X X+1 1 0 1 X 0 X 1 0 X+1 1 0 1 X 0 X 0 X+1 X 1 1 1 1 X+1 1 X X 0 X 1 X+1 0 0 0 X X 1 0 X+1 X 1 1 1 1 X 1 1 1 1 X+1 X+1 0 X X X+1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 1 0 X X 0 0 1 1 X 1 1 1 X 1 1 1 1 X 0 0 X+1 X 1 X X X+1 0 X+1 0 X 1 1 X 1 1 X 1 1 0 X 1 X+1 X 1 0 0 0 X+1 X+1 X 0 0 1 X 1 0 0 1 X X+1 1 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 0 X+1 0 X 1 1 0 0 X 0 X+1 X+1 0 X+1 1 0 X+1 1 1 0 X 0 X+1 1 X X X 1 1 X+1 0 X+1 X X 1 X 0 X 0 0 X+1 1 X+1 1 X X+1 0 X 0 1 X+1 1 0 0 1 X 1 1 1 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X 0 X 0 0 X 0 X 0 0 0 X X X X X X 0 0 0 X 0 X 0 X 0 0 0 0 X 0 X 0 X X 0 0 X X 0 0 0 0 X X 0 0 X X X X 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X 0 X X X X X 0 X X X X 0 0 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 X X X 0 0 X 0 0 X 0 0 X 0 X X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X 0 X X X X 0 X X X 0 X 0 X 0 X 0 0 0 X 0 X X X 0 X X X X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X X X X 0 X 0 0 X 0 X X X X X 0 0 X 0 0 0 0 0 X X 0 X 0 0 X X 0 X X X 0 0 X 0 0 0 0 X 0 X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 0 X X X X 0 0 0 X 0 X X 0 0 X 0 X X 0 X 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 X X X X 0 0 X X 0 X 0 X X 0 X X X X X X 0 X 0 X 0 X X X 0 0 X X 0 X X X 0 X 0 0 0 X X X 0 X 0 X X X X X X 0 X X X X generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+147x^70+506x^72+803x^74+1061x^76+1379x^78+1598x^80+1713x^82+1860x^84+1942x^86+1660x^88+1337x^90+1049x^92+635x^94+353x^96+188x^98+90x^100+41x^102+10x^104+6x^106+1x^108+1x^114+2x^116+1x^124 The gray image is a linear code over GF(2) with n=168, k=14 and d=70. This code was found by Heurico 1.16 in 58.2 seconds.