The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+238x^83+340x^84+678x^85+816x^86+1162x^87+1024x^88+1292x^89+1073x^90+1466x^91+951x^92+1326x^93+1045x^94+1086x^95+744x^96+930x^97+625x^98+558x^99+303x^100+290x^101+167x^102+116x^103+53x^104+54x^105+14x^106+14x^107+6x^108+6x^109+4x^110+2x^112

The gray image is a linear code over GF(2) with n=368, k=14 and d=166.
This code was found by Heurico 1.13 in 5.97 seconds.