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

generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+108x^83+936x^84+2180x^85+4379x^86+7120x^87+11194x^88+14840x^89+22020x^90+24224x^91+29037x^92+28986x^93+30646x^94+24422x^95+21953x^96+15312x^97+10834x^98+6370x^99+3940x^100+1798x^101+971x^102+450x^103+224x^104+112x^105+46x^106+14x^107+9x^108+2x^109+8x^111+4x^115+2x^116+2x^117

The gray image is a linear code over GF(2) with n=744, k=18 and d=332.
This code was found by Heurico 1.16 in 881 seconds.