The generator matrix

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

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+296x^50+216x^51+789x^52+608x^53+1330x^54+1044x^55+1749x^56+1232x^57+1962x^58+1236x^59+1844x^60+992x^61+1270x^62+540x^63+628x^64+240x^65+225x^66+36x^67+96x^68+27x^70+10x^72+9x^74+3x^76+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 33.1 seconds.