The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0 X+2  1  1  1  X  1  1  0  1  2  1  1  1  1  1  0  1  1  1 X+2  1  X  X  1  1  1  2  1  1 X+2  1 X+2 X+2  1  X  0  0  1  X  X  X  1  1
 0  1  1  0 X+3  1  X X+1  1  3  1 X+2  0 X+3  1  1  1 X+2  2  1  3  X  1 X+3  1 X+1  0  3 X+2 X+2  1 X+3 X+3  2  1 X+1  1  1  X  3 X+1  1  0  0  1 X+2  1  1  0  1  1  X X+3 X+2  X  1  X  0
 0  0  X  0 X+2  0  0  X  0 X+2  0  0  X  2  X X+2  0  X  X X+2  2  X  2  0 X+2  2  2  X  2  X X+2  X  0  2  0  X  2  0  X  0  0  2 X+2  X  0  2 X+2  2  0 X+2  X  X  2  2  0 X+2 X+2  X
 0  0  0  X  0  0  X  X  X  X X+2  2  X X+2  X  X X+2  X  2  0  2  0  X X+2  0  2  0  X  0  X X+2  0  2  2  2 X+2  2  0  X  X  X  X  0  X X+2  X  X  X  2  0  2  2  X X+2  X  0  0  X
 0  0  0  0  2  0  0  0  0  0  2  2  2  0  0  2  2  2  0  0  0  2  0  2  0  0  0  0  2  0  2  0  2  2  0  2  2  0  2  2  0  0  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  2  2  2  0  0  0  2  0  0  2  2  0  2  0  0  0  2  2  2  2  0  0  0  0  2  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  2  2  0  2  0  0  0  2  2  2
 0  0  0  0  0  0  2  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  2  2  2  0  2  2  0  0  2  2  0  0  0  0  2  2  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  2  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  2  0  2  0  0  0  0  0  0  2  0  2  0  0  2  2  2  2  0  2  0  2  0  2  0  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+62x^48+134x^49+209x^50+366x^51+520x^52+750x^53+954x^54+1222x^55+1439x^56+1638x^57+1844x^58+1642x^59+1484x^60+1218x^61+917x^62+746x^63+500x^64+312x^65+133x^66+112x^67+76x^68+40x^69+32x^70+8x^71+13x^72+4x^73+6x^74+1x^78+1x^80

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 12.8 seconds.