The generator matrix

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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+158x^91+379x^92+482x^93+563x^94+634x^95+675x^96+658x^97+622x^98+676x^99+502x^100+384x^101+486x^102+412x^103+390x^104+302x^105+194x^106+188x^107+162x^108+122x^109+74x^110+50x^111+32x^112+20x^113+10x^114+8x^115+3x^116+3x^118+2x^123

The gray image is a linear code over GF(2) with n=396, k=13 and d=182.
This code was found by Heurico 1.11 in 2.03 seconds.