The generator matrix

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

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+16x^51+313x^52+220x^53+152x^54+392x^55+521x^56+372x^57+216x^58+448x^59+402x^60+388x^61+136x^62+168x^63+221x^64+44x^65+8x^66+65x^68+9x^72+4x^76

The gray image is a code over GF(2) with n=232, k=12 and d=102.
This code was found by Heurico 1.16 in 8.07 seconds.