The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+130x^51+337x^52+514x^53+674x^54+702x^55+795x^56+776x^57+658x^58+708x^59+691x^60+670x^61+544x^62+358x^63+230x^64+164x^65+134x^66+54x^67+24x^68+20x^69+4x^70+2x^72+2x^78

The gray image is a code over GF(2) with n=232, k=13 and d=102.
This code was found by Heurico 1.13 in 1.05 seconds.