The generator matrix

 1  0  0  1  1  1 X+2  1  1  2  1 X+2  1  2  1 X+2 X+2  1  X  2  1  1  2  1 X+2  1  1  1  1  1  1  1  1  0  2  1  2  1  2  1  1  2  1  1  1 X+2  1 X+2 X+2  1  0  1  1  1  2  1  1  1
 0  1  0  0  1 X+1  1  X  1  1  2  0 X+3  1  0  1  2  3  1  1  X  X  2  1  1 X+3 X+1  2 X+3 X+2  2  1  2  X  1  X  1 X+2  1  2  0  1 X+3 X+3  3  1 X+2  X X+2  2  1  1  0 X+2  1  3 X+1 X+3
 0  0  1  1  1  0  1 X+1 X+2 X+1  X  1 X+1  X X+1 X+1  1 X+1  X  3  3  X  1  X  2  X X+1  0  3 X+1  X  X X+3  1 X+3  2 X+2  0 X+1 X+3 X+1 X+3 X+1 X+2 X+3  0  X  1  1  1 X+2 X+3  0  0  1  X  2  X
 0  0  0  X  0  X  0  X  X  2  0  0  2  2  2  X X+2  X X+2 X+2  2 X+2  X  2 X+2  0  X  2 X+2  0 X+2  X X+2  X  X X+2  X  2  X  2 X+2  X X+2  2  2  2 X+2  X  0  0  X X+2 X+2  2  2 X+2  0  X
 0  0  0  0  X  X X+2  0  X X+2  0  0 X+2  0  0 X+2  0  X  0  X  2  2  2  X  2  2  X  X  0  X X+2  2 X+2  X  2  X X+2 X+2  X  X  2  2  0  0  2  0 X+2 X+2  2 X+2  0 X+2  X  0 X+2  0  X  0
 0  0  0  0  0  2  0  2  0  2  2  2  2  2  2  2  0  2  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  0  0  0  0  2  0  0  2  0  2  2  0  2  2  2  2  0  0  2  2  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+268x^50+292x^51+722x^52+676x^53+1201x^54+1160x^55+1594x^56+1468x^57+1742x^58+1508x^59+1621x^60+1104x^61+1150x^62+640x^63+563x^64+268x^65+208x^66+48x^67+88x^68+4x^69+33x^70+18x^72+6x^74+1x^76

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 13.9 seconds.