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  2  1  1  1  1  2  0  X  1  X  X  X  0  0  X  0  1  0  1  X  1  2  0  X  1  X  1  X  0  1
 0  X  0  0  0  X X+2  X  0  2  2  X X+2  X  X  0  0  0  2 X+2 X+2  2 X+2  X X+2  0  0 X+2  2  X  0  X  2  X  2  X  0  2  X  0  X  0  2  X  2  2 X+2  0  X  X  0 X+2  2  2  2 X+2  0  0
 0  0  X  0  X  X X+2  0  0  0  X  X  X  0  2 X+2  X  0  2  2  0  0 X+2  2  X X+2  2 X+2  X  0 X+2  X X+2 X+2  X  0  2  X  0 X+2  2  0 X+2 X+2  2  X  X X+2 X+2 X+2  X  0  2 X+2  X  0  X  0
 0  0  0  X  X  0 X+2  X  2  X  2  0  X  2 X+2  X  2  2  X X+2  2  X  0  X X+2 X+2  0 X+2  X  0  0  0 X+2  0  2 X+2  X  2 X+2  0  0  X X+2  0  0  2  X  X  0  X  X  X  X  0  X  X  2  2
 0  0  0  0  2  0  0  0  2  2  2  2  2  0  0  2  2  0  2  2  0  2  2  0  0  0  0  2  0  2  2  2  2  0  0  0  2  0  0  2  2  2  2  0  2  2  2  2  0  0  2  2  0  0  0  2  2  2
 0  0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  2  2  0  0  0  2  0  0  0  0  2  2  2  0  0  0  2  2  0  0  2  2  2  2  2  2  0  0  2  0  0  0  2  0  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  2  0  0  2  2  2  0  0  2  0  2  2  2  0  2  0  0  0  2  0  2  0  0  2  2  2  0  0  2  2  2  2  2  2  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  2
 0  0  0  0  0  0  0  2  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  2  0  2  0  0  2  0  2  0  0  2  0  2  0  2  2  2  0  0  2  0  0  2  0  2  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 48.

Homogenous weight enumerator: w(x)=1x^0+54x^48+82x^49+166x^50+258x^51+336x^52+360x^53+450x^54+602x^55+689x^56+782x^57+776x^58+740x^59+643x^60+620x^61+472x^62+340x^63+250x^64+170x^65+152x^66+90x^67+60x^68+28x^69+28x^70+18x^71+13x^72+6x^73+2x^74+1x^76+2x^78+1x^80

The gray image is a code over GF(2) with n=232, k=13 and d=96.
This code was found by Heurico 1.16 in 4.77 seconds.