The generator matrix

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

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+178x^91+259x^92+682x^93+419x^94+752x^95+585x^96+824x^97+387x^98+756x^99+449x^100+518x^101+317x^102+508x^103+257x^104+396x^105+205x^106+294x^107+118x^108+124x^109+36x^110+62x^111+21x^112+16x^113+12x^114+8x^115+2x^116+2x^119+4x^120

The gray image is a linear code over GF(2) with n=396, k=13 and d=182.
This code was found by Heurico 1.16 in 5.72 seconds.