The generator matrix

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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+45x^90+182x^91+345x^92+502x^93+517x^94+586x^95+651x^96+644x^97+630x^98+584x^99+620x^100+428x^101+422x^102+500x^103+396x^104+366x^105+228x^106+146x^107+118x^108+84x^109+60x^110+30x^111+40x^112+22x^113+16x^114+16x^115+4x^116+2x^117+4x^119+1x^122+1x^124+1x^126

The gray image is a linear code over GF(2) with n=396, k=13 and d=180.
This code was found by Heurico 1.16 in 6.52 seconds.