The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+23x^80+44x^81+96x^82+198x^83+210x^84+444x^85+370x^86+872x^87+592x^88+1182x^89+833x^90+1530x^91+1023x^92+1662x^93+1024x^94+1628x^95+790x^96+1264x^97+527x^98+690x^99+309x^100+448x^101+145x^102+184x^103+64x^104+70x^105+45x^106+14x^107+38x^108+6x^109+26x^110+4x^111+16x^112+2x^114+3x^116+3x^118+2x^120+1x^124+1x^130

The gray image is a linear code over GF(2) with n=372, k=14 and d=160.
This code was found by Heurico 1.16 in 23.9 seconds.