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  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  X  X  1  1  X  1  1  X  1
 0  X  0  0  0  X X+2  X  0  2  X X+2  0  2  X  X  0  2  X  X X+2  2 X+2  0 X+2  X  2  0  2 X+2  X  0  2  2  2  2  2  2  2  2  2  2 X+2 X+2 X+2 X+2 X+2 X+2  X  X  X  2  X  X X+2  2  2  2
 0  0  X  0  X  X  X  2  0  2 X+2 X+2  X  X  2  2  0 X+2  0  X  X  X  0  0 X+2 X+2 X+2  2  0  2  0  X  X X+2  2  2  0  0 X+2  0  2 X+2 X+2  2  0  X  X X+2  X  X  2  X X+2  0  X X+2  2 X+2
 0  0  0  X  X  2 X+2 X+2  0 X+2  2 X+2  X  0  X  0  2 X+2 X+2  0 X+2  2  0 X+2  0  X  X  2 X+2 X+2  0  2  0  2  0  2  2  0  2  X X+2  X  0 X+2  X  2  X X+2  2  0 X+2  2  0  X  0  0 X+2  X
 0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  0  2  0  2  0  2  0  0  0  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  0  2  2  2  0  0  0  0  0  0  2  0  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+34x^52+50x^53+60x^54+84x^55+86x^56+126x^57+169x^58+132x^59+73x^60+70x^61+51x^62+36x^63+23x^64+10x^65+4x^66+4x^67+7x^68+3x^70+1x^106

The gray image is a code over GF(2) with n=232, k=10 and d=104.
This code was found by Heurico 1.16 in 0.164 seconds.