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

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+126x^84+358x^86+28x^87+526x^88+124x^89+607x^90+248x^91+796x^92+400x^93+854x^94+440x^95+732x^96+400x^97+658x^98+280x^99+529x^100+96x^101+367x^102+28x^103+235x^104+4x^105+152x^106+112x^108+57x^110+14x^112+19x^114+1x^140

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 9.24 seconds.