The generator matrix

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

generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+69x^86+110x^87+196x^88+280x^89+286x^90+368x^91+348x^92+390x^93+406x^94+422x^95+400x^96+420x^97+426x^98+360x^99+363x^100+330x^101+369x^102+370x^103+390x^104+330x^105+278x^106+252x^107+224x^108+178x^109+158x^110+118x^111+87x^112+88x^113+48x^114+44x^115+33x^116+30x^117+6x^118+4x^119+6x^120+2x^121+2x^122

The gray image is a linear code over GF(2) with n=198, k=13 and d=86.
This code was found by Heurico 1.10 in 5.09 seconds.