The generator matrix

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

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+92x^48+454x^49+949x^50+1420x^51+2271x^52+2892x^53+4323x^54+4518x^55+6184x^56+5976x^57+6980x^58+6050x^59+6620x^60+4900x^61+4280x^62+2816x^63+2037x^64+1174x^65+835x^66+408x^67+189x^68+88x^69+37x^70+18x^71+14x^72+4x^73+4x^74+2x^75

The gray image is a code over GF(2) with n=232, k=16 and d=96.
This code was found by Heurico 1.13 in 52 seconds.