The generator matrix

 1  0  0  0  1  1  1 X^2  1  1 X^2+X  1  1 X^3+X^2 X^2+X  1  1  0 X^3+X X^2+X  1 X^3+X^2+X  1 X^2  1  1  1 X^3  1 X^3+X  1  1  1  0  1  X X^3+X^2  1 X^3 X^3+X^2 X^3+X^2  1 X^3+X  1 X^2+X X^3  1  1  1 X^2+X X^3+X^2  1  1  1 X^3+X^2+X X^2  1  1 X^3+X^2  X  1  1  1  1  1  1  1  0 X^3+X  X X^3+X^2+X X^3+X^2+X X^3+X  1  0  1  1  1  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3  0 X^3  1 X^2+X  1  1  1  1
 0  1  0  0  0 X^3+1 X^3+1  1 X^3+X^2+X X^3+X X^3+X^2+X X+1 X^3+X^2+X+1  1  1 X^2+1  0 X^3+X^2  1  1 X^3+X X^3+X^2 X^3+1  1 X^2+X+1 X^2+1  0 X^2+X X^2+X  1 X^3 X^2+X+1  X  1  1  0 X^2 X^3+X^2 X^3 X^3  1  X  1 X^3+X+1  1  1 X^3+X+1 X^3+X^2 X^3+X^2+X+1  1  X  X X^3+X X+1  1  1  X X+1  1  1 X^2 X^3+X^2+X  X X^3+X^2+1 X^3 X+1 X^3+1 X^2+X X^3  1 X^2+X  1  1 X^3+X^2+X X^3+X X^3+X^2+X X^2+1 X+1 X^3+X^2+X+1 X^3+X+1  X  1  1  1 X^3+X^2 X^3+X+1  1  1 X^3+X^2+X X^2  0  1 X^2+X  0  0
 0  0  1  0  1  1 X^2 X^2+1  0 X^3+1  1 X^2+1 X^2+X X^3+X^2+X+1 X^3 X^2  1  1  1 X^2+X X^3+X^2+X X^2+X X^2+1 X^2+X X+1 X^3+X^2 X^3+X^2+X  1 X^3+X^2+X+1  1 X^3+X^2+X X^2+1 X^2+X+1 X^3+X^2+X  1  0  1  0  1  1 X^3+1  1  0 X^2 X+1 X^3+X^2+X X^2 X^3+X X^3+1 X^3+X^2  1 X^2  0 X^3+X+1 X^3+X X^2+1 X^2+1 X^3 X^3+X^2+X X^3+X^2+1 X^3+X^2+X+1 X^2 X^3+1  1 X^3+X+1 X^2+1 X^3+X^2+X  X X^2+X X^2+X+1 X^3+X^2  1 X^3+X X^3+X^2+X+1  1  1 X^3+X+1 X^2 X^3  1  1  0 X^3+X^2+1 X^2  X X^3+X+1 X^3+X+1 X^2+X+1  1 X+1  1 X^3+X^2+1  1  0  0
 0  0  0  1  1 X^2 X^2+1  1 X^2+X+1 X^3+X X^2+1 X^2+1 X^2+X X^3+X^2+X X^2+1 X^2+X+1 X^3+X^2+X+1 X^2+X X^3+X+1 X^3+X^2 X^3+X^2  1 X^2+X X^3+X^2+1 X^2+X+1  0 X+1 X^3+X^2+X+1 X^3+X  X X^3+X^2+X X^3+X X^3+1  X X^2+1  1 X^3+X+1 X^3+X^2+1  1 X^3 X+1 X^2 X^3 X^3+X^2+X X^3+X^2+X X^3+X^2+X+1 X+1 X^3 X^3 X^2+X+1  0 X^2+X+1  X  0 X^3+X  1 X^2+1  X  0 X^3+X X^3+X^2+1  1 X^2+X X^2+X+1 X^3+1 X^3+1 X+1  1  1 X^3+X^2+1  1 X^3+X^2+1 X^3+X^2 X^2+X X^3+X^2+1 X^3+X^2+X X^3+X^2 X^2+X+1 X^3+X^2+1 X^2+1 X^3+X^2+X+1 X^3+X X^3+X^2  1 X^2+X+1  X X^3+X^2+X X^3+X X^3+X^2+X+1 X^3+X^2 X^2+X+1 X^2+1 X^3+X^2+X+1 X^3  0
 0  0  0  0 X^3+X^2  0 X^3+X^2  0 X^3 X^3 X^3 X^3 X^3 X^3  0  0 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^3+X^2 X^3+X^2  0  0 X^2  0  0 X^3 X^2 X^2 X^3 X^3 X^3+X^2 X^3 X^3 X^2 X^3 X^2 X^3+X^2 X^3+X^2 X^3 X^3  0 X^2 X^2 X^3+X^2  0 X^3+X^2 X^2  0 X^2  0 X^2  0  0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3+X^2  0 X^3  0 X^2 X^2 X^2  0 X^3+X^2 X^2  0  0 X^3+X^2 X^2 X^2 X^2 X^3+X^2 X^3  0 X^2 X^3 X^3+X^2 X^2 X^3 X^2  0  0 X^3  0

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+50x^84+194x^85+1091x^86+2354x^87+4331x^88+7380x^89+10731x^90+15846x^91+19700x^92+25704x^93+27739x^94+31166x^95+27546x^96+27010x^97+21110x^98+15688x^99+9935x^100+6636x^101+3734x^102+2028x^103+1208x^104+454x^105+220x^106+150x^107+71x^108+36x^109+10x^110+2x^112+8x^113+3x^114+4x^116+2x^117+2x^118

The gray image is a linear code over GF(2) with n=760, k=18 and d=336.
This code was found by Heurico 1.16 in 889 seconds.