The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  X  X X^2 X^2+X  1 X^2  X  1  1 X^2  1  1  1  X  0  1  0 X^2  1  1 X^2+X  0  1  1 X^2+X X^2+X  1 X^2+X  1 X^2+X  1  X  X  1  1  0  X X^2 X^2+X  1  X  1 X^2+X  1  1  X  1  1  1 X^2  1  1  1  0 X^2+X  1 X^2  1  0  1  1  1  1  X  X X^2 X^2+X X^2  1  1  1  0  0  1  0  1  0  X  1  1  0  1 X^2+X  1
 0  1  0  0  X  1 X^2+X+1 X^2 X^2+X X+1 X^2+1  1  1  1 X^2+X X^2  1  1 X^2  X  1 X^2+1 X^2+X X+1 X^2+X  1 X^2+1 X^2+X  0 X+1 X^2+X  1 X^2 X^2+X X+1 X^2+X  1 X^2+1 X^2 X^2  1  1  1  1 X^2+1  X  1 X^2  1 X^2 X^2+X  1 X+1  1  0  1  1 X^2+X X^2+1 X^2+1  1 X^2+X X^2+X X^2 X^2  1  0 X^2 X+1  1 X^2+X+1 X^2  1 X^2+1 X^2+X X^2  1  0 X^2 X^2 X+1 X+1  1 X^2+X  1 X^2+X X^2 X^2+X  1 X^2+X X^2+X+1 X^2 X^2+1  1  0
 0  0  1  0  0  0  0  1 X^2+1  1  1 X+1  1  X  1 X^2  X X+1  X X^2+X+1 X^2  1 X+1 X^2+X X^2+X X^2+1 X+1  1  1 X^2+X  0  0  1  1  1  1  1 X^2+X X^2 X^2+X+1  X  1 X+1  1 X+1 X^2+X X^2+1  1  X  1 X^2+1  X  0  0  0 X+1 X^2+X+1 X^2  0  0 X^2+1  X  X X+1  1 X+1 X^2+X  1 X^2+1  X X^2+1 X+1 X^2+X  X  1  1 X^2+1  1  1  0 X^2+X+1 X^2+X  0  1 X^2+X+1  1 X^2  X X^2+X X+1 X^2+X+1  1 X+1  1  0
 0  0  0  1  1 X^2+X+1 X^2+X X+1  0  1 X^2+X  1 X^2 X+1 X^2+1 X^2+1  X X^2+X+1  X X^2+X+1 X^2+X+1 X^2+X+1  0  X  1 X^2  X  0 X^2+1 X^2+1 X+1  X  X X^2+X X^2+X X+1 X^2+X X^2+X+1  1 X^2+X+1 X^2+X+1 X^2+1 X^2+X+1  0 X^2 X^2 X^2+X+1 X^2+X+1 X^2+X X^2  0 X^2+1 X^2+X X^2+1 X+1 X^2+X+1  0 X+1  X X+1 X+1 X^2+X+1  X  1 X^2+X  X  X  X  X X^2+X X^2  X  0 X^2+1  1 X^2+X X^2  1 X^2+1  0 X+1  0 X+1 X^2+X X^2+1 X^2+1 X^2+X+1  1 X+1  1  1 X^2+1  0 X^2+1  0
 0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0
 0  0  0  0  0 X^2  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0
 0  0  0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  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+81x^84+324x^85+719x^86+848x^87+1246x^88+1458x^89+1824x^90+1782x^91+2397x^92+2338x^93+2472x^94+2060x^95+2613x^96+2340x^97+2308x^98+1726x^99+1804x^100+1242x^101+1110x^102+742x^103+475x^104+302x^105+233x^106+124x^107+78x^108+54x^109+31x^110+14x^111+5x^112+4x^113+5x^114+4x^116+2x^117+2x^122

The gray image is a linear code over GF(2) with n=380, k=15 and d=168.
This code was found by Heurico 1.16 in 67.7 seconds.