The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+189x^52+272x^53+564x^54+572x^55+816x^56+652x^57+850x^58+660x^59+787x^60+660x^61+656x^62+436x^63+430x^64+260x^65+206x^66+60x^67+60x^68+12x^69+24x^70+17x^72+4x^74+4x^76

The gray image is a code over GF(2) with n=236, k=13 and d=104.
This code was found by Heurico 1.16 in 2.94 seconds.