The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  X  X  X X^2  X  1  X  1  1  1  X  X  X  1  1  1  1  X  1  1  1  1  X  X  1  1  X  X  1  0 X^2  0  1  1  1  1  X  0  X  1  1  1  0  X  1  1  X  1  1  X  X  X
 0  X  0  0  0  0  0  0 X^2 X^2  X X^2+X  X  0  0 X^2 X^2+X X^2+X  X  X  X  X  0  X X^2+X  X  0  X X^2+X X^2 X^2+X X^2 X^2 X^2+X  X  0  0  X X^2  0  X  X  X X^2  X X^2  X X^2 X^2  0 X^2 X^2+X X^2+X X^2 X^2  0  0 X^2+X  0  0  0  0 X^2+X  X  0  X  0 X^2  X  X X^2+X  X X^2  X  X X^2+X X^2  X X^2  0  0  X  0 X^2 X^2  X  0 X^2+X X^2 X^2+X X^2+X  X  0 X^2  0
 0  0  X  0  0  0  0  0  0  0  0  0 X^2 X^2+X X^2+X X^2+X  X X^2+X X^2+X  X X^2 X^2 X^2+X X^2+X  0  0  X  X  X X^2+X X^2+X X^2+X X^2 X^2 X^2+X  X  X X^2 X^2  X  0  0 X^2 X^2 X^2  0 X^2+X X^2+X X^2  X X^2  X  0  X  0 X^2+X  X X^2  X X^2  X  0  X  0  X X^2 X^2  0  X  X  0  0  X  X  X  0 X^2  0  X  0  X  X X^2+X  0 X^2+X X^2 X^2 X^2  X  X  X X^2 X^2+X X^2+X X^2
 0  0  0  X  0  0 X^2 X^2+X  X  X  X  X X^2 X^2+X  X X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  X X^2+X  X X^2  X X^2+X X^2+X  X X^2+X  0 X^2  0  0  0 X^2+X X^2+X  X  0 X^2 X^2+X  X X^2+X  0  0 X^2 X^2+X  0 X^2 X^2+X  X X^2 X^2+X  X  0  X X^2  X  X  0  X X^2 X^2+X  0  0 X^2+X  X X^2  0 X^2  0 X^2+X  0  0  0 X^2+X X^2+X  0 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2  X  X X^2  0
 0  0  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2+X  0  X  X  0 X^2  X  0 X^2+X X^2+X  X X^2+X  X X^2 X^2  X X^2 X^2  0 X^2+X X^2  0 X^2+X  X X^2+X X^2  0 X^2+X  X  X X^2 X^2+X X^2 X^2+X X^2 X^2 X^2  0  X  X  X  X X^2 X^2  X X^2 X^2  0  0  0 X^2 X^2  0  X  0 X^2+X  X  0 X^2+X  0 X^2+X X^2 X^2  0  X X^2+X  X  0  X X^2+X  0 X^2 X^2 X^2+X X^2  X X^2  X X^2+X X^2+X X^2+X  0  X X^2
 0  0  0  0  0  X  X X^2 X^2+X  X X^2+X X^2  X  X  0  X  0 X^2+X X^2+X  0  X X^2 X^2 X^2+X X^2  X X^2+X X^2+X X^2  X X^2 X^2 X^2+X  0  X X^2+X  0  0  0  X X^2+X  0 X^2+X  X X^2+X X^2+X  0 X^2+X  0 X^2  0 X^2+X X^2+X X^2  0 X^2  X  0 X^2+X X^2  0  0 X^2 X^2  X X^2 X^2+X X^2+X X^2+X X^2 X^2+X X^2+X  0  X X^2 X^2 X^2  0  0 X^2+X X^2 X^2 X^2+X  X X^2+X  X  0 X^2+X  X X^2+X  0  0 X^2+X  0  0

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+148x^84+4x^85+332x^86+40x^87+510x^88+140x^89+690x^90+228x^91+683x^92+380x^93+816x^94+460x^95+835x^96+388x^97+726x^98+252x^99+464x^100+96x^101+350x^102+44x^103+234x^104+16x^105+140x^106+103x^108+70x^110+26x^112+12x^114+2x^116+1x^120+1x^136

The gray image is a linear code over GF(2) with n=380, k=13 and d=168.
This code was found by Heurico 1.16 in 9.47 seconds.