The generator matrix

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

generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+122x^84+854x^85+2333x^86+4410x^87+7337x^88+11346x^89+15076x^90+20712x^91+25424x^92+28210x^93+29637x^94+29876x^95+25256x^96+20696x^97+15647x^98+10758x^99+6573x^100+4030x^101+2074x^102+920x^103+468x^104+198x^105+57x^106+68x^107+33x^108+4x^109+4x^110+6x^111+2x^112+4x^113+2x^114+2x^115+2x^117+2x^122

The gray image is a linear code over GF(2) with n=752, k=18 and d=336.
This code was found by Heurico 1.16 in 882 seconds.