The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  2  1  1  1  X  1  1  1 X+2  1  1  2  X  1  1  1 X+2  1  1 X+2  1  1  1  1  1  1  1  2  1  1  1  1 X+2 X+2  1  2  2  1 X+2  X  1  1  X  1  1  1
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  1  0 X+1 X+2  1  3  2 X+1  1  X  0  1  1  1  0  3  1  0 X+2  1 X+1  0  2 X+1 X+3  3  1  1  1  X  1 X+3  1  1  0  1  0  0  1  2 X+2  1  2  3 X+1  2
 0  0  X  0  0  0  0  0  0  2  2 X+2  X  X  2  X X+2  X  X  X X+2 X+2  2  X X+2 X+2 X+2  2  X  2  X  0  0  X X+2 X+2  0  X  X  X  0  2  0 X+2 X+2  2  X  0  X  2  X  0  X X+2  2  2  2  0
 0  0  0  X  0  0  X  2  X  2 X+2  2 X+2  2  X  0  X X+2  X X+2  0 X+2  2  X  0  2  2  2  X X+2  0  X  2 X+2  0  X X+2  0  0  0  2  X  2  0  0  2 X+2  0  X  0  X  2  X  2  X  2  2  0
 0  0  0  0  X  0  0 X+2  2  0  2  2 X+2  X X+2  X  X  2  X  0  X  X  0 X+2 X+2  2 X+2 X+2  0 X+2  0  X  2  0  2 X+2 X+2  X X+2  0  0 X+2 X+2 X+2  0  X X+2  X X+2  X X+2 X+2  2  2  0  0  2 X+2
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  0  0  2  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  0  2  0  0  0  2  2  0  2  0  0  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  0  2  2  2  2  2  0  2  0  0  2  0  0  2  0  0  0  0  2  2  2  0  0  2  2  2  2  2  2  2  0  0  0  2  2  0  2  0  0  2  2  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+63x^48+92x^49+206x^50+424x^51+544x^52+706x^53+991x^54+1244x^55+1441x^56+1596x^57+1742x^58+1740x^59+1477x^60+1210x^61+946x^62+704x^63+473x^64+326x^65+181x^66+100x^67+79x^68+36x^69+26x^70+12x^71+18x^72+2x^73+3x^74+1x^78

The gray image is a code over GF(2) with n=232, k=14 and d=96.
This code was found by Heurico 1.16 in 13 seconds.