The generator matrix

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

generates a code of length 58 over Z2[X]/(X^4) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+59x^54+356x^55+224x^56+294x^57+227x^58+296x^59+172x^60+308x^61+80x^62+20x^63+1x^64+6x^65+1x^70+2x^72+1x^90

The gray image is a linear code over GF(2) with n=464, k=11 and d=216.
This code was found by Heurico 1.16 in 0.203 seconds.