The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+48x^89+88x^90+68x^91+62x^92+52x^93+32x^94+48x^95+38x^96+16x^97+16x^98+12x^99+6x^100+12x^101+8x^102+4x^104+1x^128

The gray image is a linear code over GF(2) with n=372, k=9 and d=178.
This code was found by Heurico 1.16 in 0.485 seconds.