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

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+225x^84+612x^86+990x^88+1116x^90+1389x^92+1496x^94+1613x^96+1624x^98+1596x^100+1536x^102+1390x^104+1086x^106+773x^108+454x^110+294x^112+118x^114+39x^116+18x^118+7x^120+2x^124+4x^126+1x^136

The gray image is a linear code over GF(2) with n=196, k=14 and d=84.
This code was found by Heurico 1.10 in 19.2 seconds.