The generator matrix

 1  0  1  1  1  X  1  1 X^3+X^2+X  1  1 X^2 X^2+X X^3+X^2+X  1  1  1  1 X^3+X^2+X X^2  1  X  1  1  1  1  X  1 X^3  1  0  1  1
 0  1  1 X^2 X+1  1  X X^3+1  1 X^3+X X^2+X+1  1  1  1 X^2 X^3+X^2+1 X^3+X X+1  1  1  X  1 X^3+1 X^3 X^3+X^2+X+1  0 X^3+X^2+X X^3+X^2+X  1 X^3+X^2+X  0 X^2+X X^3
 0  0  X X^3+X X^3 X^3+X X^3+X X^3 X^3+X^2+X  0  X X^2  0 X^3+X^2 X^3+X^2+X X^3+X^2 X^3+X^2+X X^2  X  X X^3+X^2 X^3+X^2+X X^2+X X^3+X^2 X^2+X X^2+X X^3+X^2+X X^2+X  X X^3+X  X X^3+X^2+X X^2

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+153x^30+376x^31+384x^32+332x^33+325x^34+276x^35+138x^36+20x^37+16x^38+20x^39+5x^40+1x^42+1x^46

The gray image is a linear code over GF(2) with n=264, k=11 and d=120.
This code was found by Heurico 1.16 in 0.25 seconds.