The generator matrix

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

generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+72x^84+106x^85+240x^86+370x^87+389x^88+420x^89+453x^90+604x^91+709x^92+682x^93+695x^94+698x^95+808x^96+824x^97+797x^98+794x^99+789x^100+870x^101+740x^102+746x^103+716x^104+642x^105+599x^106+566x^107+477x^108+408x^109+323x^110+236x^111+181x^112+118x^113+111x^114+76x^115+71x^116+22x^117+9x^118+6x^119+9x^120+4x^121+2x^124+1x^150

The gray image is a linear code over GF(2) with n=198, k=14 and d=84.
This code was found by Heurico 1.10 in 19.3 seconds.