The generator matrix

 1  0  0  0  0  0  0  1  1  X  X  1  1  1  1  0  1  0  0  X  1  0  1  X  0  1  1  1  1  1  1  X  0  X  X  1  0  0  0  X  1  1  1  X  1  X  0  0  1  X  1  1  1  1  1  1  X  0  0  1  X  1  0  1  1  X  1  X  1  1  1  X  X  1  1  0  0  0  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  0  0  0  X  1  1  1  0 X+1  1  0  X  1  1  0  1  1  1  1  0  1  X  1  1 X+1  0  X  0  X  X  1  X  1  0  1  0  X  X  1  X  1  1  0  1  0  1  1  X  X X+1 X+1  0  1  1  X X+1  1 X+1  0 X+1  0  1 X+1  1 X+1  X  X  X  X  0 X+1  X  0  1 X+1  0  0 X+1  1  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  1  0  0  0  0  X  1 X+1  0  1  1  X X+1  1  X  1  X X+1 X+1  X  1  0  X  0  1  0  X  0 X+1  X  1  1  1 X+1  1  0  1  1  X  1  1  1  X  1  X  0 X+1  0  0  X  1  0  X  X  0  1  0  1  X X+1  1  0 X+1 X+1  1  0 X+1  1 X+1  1  0  X  0  1  1  X  0  X  1  1 X+1  X  X  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  1  0  0  0  1  0  X X+1  1 X+1 X+1  X X+1  0 X+1  0  0  X  0 X+1  1  1  X X+1  1  0 X+1  X  0  0  1 X+1  1  0  X  1  X  X  1  0  1 X+1  1  1 X+1  X  0  X  1  X  0  0 X+1 X+1  X  1  X  1 X+1  X  1  0 X+1  1  X  0 X+1  X X+1  X  X X+1  1  0  1  1 X+1  X X+1  0 X+1  1  X  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  1  0  0  1  X  1 X+1  0 X+1  0  1  1 X+1  0  X  1  X  0 X+1  X X+1  X  0  X  1 X+1  1  1  0  1  0  0  1  1  0  0 X+1  0  1  X  0 X+1  1  X  0  X  0 X+1  X  X  1  0 X+1  1  X  1  0  1  1 X+1  X  0  X  1  X  1  1  1  1  0  1  X  0  0  0  0  1 X+1  0  X  1  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  1  0  1 X+1 X+1  0  X  0  X  1  0  1  1  1  1  0 X+1  1  1  X  1  X X+1  X  X X+1 X+1  1 X+1  X  1  0 X+1  X  1 X+1  X  1  1  0  X  X  X X+1  0  1  1  X  X  1  1  1  X  1  X  X  X  0  X  X  1 X+1  X  1  X  0  0  1 X+1  1  0  1 X+1  1 X+1 X+1  1  X  1 X+1  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  1  1  1  0 X+1  X  X  1  X  1 X+1  X  1  1  0  X  0 X+1  0  0 X+1 X+1 X+1  X X+1  X  0  1  X  0  X  1  1  1  0 X+1  1  0  X X+1 X+1  0  1  1  X  X  0  0  X X+1  X  1  0  1 X+1  X  0 X+1 X+1  1  1 X+1  X X+1  X  0  X  X  0 X+1  1  0  1  X X+1  X X+1 X+1 X+1  0  0  0  0  0  0  0  0  0  0  0  0  0

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+18x^71+28x^72+64x^73+72x^74+112x^75+102x^76+132x^77+173x^78+158x^79+200x^80+206x^81+221x^82+244x^83+314x^84+308x^85+354x^86+364x^87+397x^88+452x^89+487x^90+504x^91+416x^92+486x^93+466x^94+530x^95+549x^96+550x^97+584x^98+538x^99+566x^100+534x^101+571x^102+446x^103+450x^104+476x^105+420x^106+382x^107+403x^108+398x^109+296x^110+338x^111+305x^112+270x^113+206x^114+214x^115+236x^116+166x^117+162x^118+122x^119+78x^120+84x^121+52x^122+52x^123+45x^124+32x^125+28x^126+8x^127+4x^128+2x^129+2x^130+2x^131+1x^132+2x^134+1x^140

The gray image is a linear code over GF(2) with n=196, k=14 and d=71.
This code was found by Heurico 1.16 in 54 seconds.