The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+104x^50+428x^51+626x^52+1062x^53+983x^54+1426x^55+1186x^56+1736x^57+1413x^58+1758x^59+1259x^60+1442x^61+893x^62+864x^63+460x^64+340x^65+182x^66+122x^67+51x^68+28x^69+7x^70+10x^71+1x^72+1x^74+1x^78

The gray image is a code over GF(2) with n=232, k=14 and d=100.
This code was found by Heurico 1.16 in 9.54 seconds.