The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+185x^52+188x^53+442x^54+308x^55+516x^56+328x^57+446x^58+292x^59+428x^60+200x^61+254x^62+156x^63+173x^64+40x^65+66x^66+12x^67+35x^68+12x^69+8x^70+6x^72

The gray image is a code over GF(2) with n=232, k=12 and d=104.
This code was found by Heurico 1.16 in 0.693 seconds.