The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  1  0  1  0  1  1  1  2  1 X+2  1  X  1  1  1  X  1  1  0 X+2  2  1  1  0  1  1  1  0  1  2  1  X  1  0 X+2  1  1  2  1  1  0  1  X  X  1
 0  1  1  0  1  1  2 X+1  1  0  1 X+1  1  2  1 X+1  1 X+2  3  2  1 X+3  1  0  1 X+1  X X+1  1  0  1  1  1  1 X+2 X+3  1  0 X+1  2  1 X+2  1 X+2 X+2  0  X  1 X+1 X+2  1  2 X+1  1 X+2  0  2  0
 0  0  X  0  0  0  0  0  0  0  0  2  2 X+2 X+2  X  X  X X+2 X+2  X X+2  X X+2  2  2  0 X+2  X  2  2  0 X+2  2  X X+2 X+2  0  0 X+2 X+2 X+2  X  X  2  0  0  2  X  X  X  X  X X+2 X+2  2  0  0
 0  0  0  X  0  0  0  0  X X+2 X+2 X+2 X+2 X+2  0  2 X+2  2  X  0  X  X  0 X+2  X  0  2  2  0 X+2  X  X X+2  X X+2  2 X+2 X+2 X+2 X+2  2  2  0  X X+2 X+2 X+2 X+2  0  2  0  2  X  2 X+2  0  0  0
 0  0  0  0  X  0  2 X+2  0  2  2  X X+2  X  X  0  X X+2  0 X+2 X+2  0  X  X  0  X  X X+2  2  X  0  X  2  X  0 X+2  0  X  0  2  X  X  X X+2  2 X+2  2  X X+2 X+2 X+2  0  X  0 X+2  2 X+2  0
 0  0  0  0  0  X X+2 X+2 X+2 X+2  0  0  X  0  0  X  X  0  2  X  2  X  X  X  X  2  2  2  2  X  0 X+2  0  0 X+2  X X+2  0  0  2 X+2  2  0  2 X+2 X+2  2  2  2  X  2  0 X+2  0  2  X  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+52x^48+138x^49+251x^50+350x^51+557x^52+818x^53+1007x^54+1152x^55+1553x^56+1620x^57+1483x^58+1648x^59+1495x^60+1266x^61+946x^62+760x^63+466x^64+268x^65+240x^66+106x^67+88x^68+44x^69+34x^70+16x^71+12x^72+6x^73+6x^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 12.9 seconds.