The generator matrix

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

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+52x^89+54x^90+46x^91+81x^92+42x^93+79x^94+72x^95+59x^96+54x^97+44x^98+46x^99+44x^100+54x^101+33x^102+58x^103+45x^104+42x^105+20x^106+28x^107+15x^108+8x^109+11x^110+6x^111+6x^112+4x^113+6x^114+2x^116+3x^118+1x^120+2x^122+2x^124+2x^126+2x^130

The gray image is a linear code over GF(2) with n=196, k=10 and d=89.
This code was found by Heurico 1.16 in 1.04 seconds.