The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+210x^54+226x^56+184x^58+216x^60+160x^62+3x^64+16x^66+6x^70+2x^88

The gray image is a code over GF(2) with n=232, k=10 and d=108.
This code was found by Heurico 1.16 in 19.3 seconds.