The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1  1  X  X  1  1  2 X+2  1  0  1  1  1  1  1  1  1  0  1  1  X  1  1  2 X+2 X+2  X  1  1  1  X  1  1  1  0 X+2  1  1  1  0  1  1  1  X
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1 X+3  0  2  1 X+1  X  1  1  2  X X+3 X+2  0 X+3 X+1 X+1  1  2  X X+1  1  X  1  1  1  1 X+2  2  0  1  1  2  2  3  1  1  1  1  2  0  1  1  X  1
 0  0  1  1  1  0  1  1  3  3  1  0  2  X  1  X  1 X+2 X+2  1  1  2  0  1  3  1  X  0 X+3 X+2 X+3  1 X+3  X  2 X+3  1  1 X+1 X+3  1 X+3  2  3  0 X+3  1  3 X+1  2  X X+2  0  1  1  X X+1  X
 0  0  0  X  0  0  2  2 X+2  X  X  X  X X+2 X+2  2  0  0  0  2  X X+2 X+2 X+2  2 X+2  2  X  2 X+2  2  0  0  X  2 X+2 X+2  X X+2  0  2 X+2  0  0  0  2 X+2 X+2  0  X  X  0 X+2  2  0  0  X  X
 0  0  0  0  X  2  X X+2  2  2 X+2 X+2  X X+2 X+2  X  X X+2 X+2  0  X  0  0  2  0  X  2  0  X  X  0  X  0  0  X X+2 X+2 X+2  2  0  2  2  X  0  X  2  2  0 X+2 X+2  0 X+2  X  2  2  0  0  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+206x^51+291x^52+554x^53+576x^54+678x^55+634x^56+934x^57+656x^58+848x^59+667x^60+698x^61+442x^62+412x^63+198x^64+194x^65+76x^66+58x^67+26x^68+20x^69+10x^70+6x^71+7x^72

The gray image is a code over GF(2) with n=232, k=13 and d=102.
This code was found by Heurico 1.16 in 3.22 seconds.