The generator matrix

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

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+24x^81+133x^82+214x^83+324x^84+462x^85+520x^86+730x^87+828x^88+908x^89+996x^90+1150x^91+1316x^92+1404x^93+1500x^94+1616x^95+1724x^96+1714x^97+1736x^98+1706x^99+1667x^100+1614x^101+1611x^102+1396x^103+1292x^104+1182x^105+1102x^106+944x^107+649x^108+612x^109+438x^110+332x^111+298x^112+234x^113+135x^114+80x^115+82x^116+36x^117+19x^118+22x^119+8x^120+2x^121+2x^122+2x^123+1x^124+1x^128+1x^132

The gray image is a linear code over GF(2) with n=196, k=15 and d=81.
This code was found by Heurico 1.11 in 88.4 seconds.