The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  0  1  1 X+2  1  1  1  X  1  X  1 X+2  1 X+2  1  1  0  1  1  1  X  1  1  1  2  1 X+2  1  1  1  1  1  1  1  1  X  X  1  1  1  1  0  1  X
 0  1  1  0 X+3  1 X+1 X+2  1  2  1  3  X X+1  1  1  0  3  1  X X+1  X  1  1  1 X+3  1 X+2  1 X+2 X+3  1 X+1 X+1  3  1 X+1  1  2  1 X+2  1 X+1 X+2 X+2  2  2  X X+2 X+3  1  1  0 X+3  2  2  X  3  0
 0  0  X  0 X+2  0  2  2  X X+2 X+2  2  X  X  X  0  X  2 X+2  2  2 X+2  2 X+2  X  2  2  2  X  0  X  0  0  X X+2 X+2  2  X  0  2  X  2 X+2  2 X+2  0 X+2  0  X  X  X  0  2  X X+2 X+2 X+2  0  2
 0  0  0  X  0  0  0  2  2  2  2  0  0  X  X  X X+2  X  X X+2  X X+2 X+2 X+2  X X+2  2  0  0 X+2  2  2  0 X+2 X+2  X X+2  X  X X+2 X+2  X  2  X  X  X  X  2 X+2  2  0  0  0  X  2  0  0  2  0
 0  0  0  0  2  0  0  0  2  2  0  0  0  2  2  0  0  2  2  0  0  0  2  0  0  2  2  2  0  2  0  2  2  2  2  0  2  0  0  2  2  2  0  2  0  2  0  2  2  2  2  0  2  2  0  2  2  0  0
 0  0  0  0  0  2  2  2  0  2  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  0  0  0  2  0  2  2  0  2  0  2  2  2  2  0  2  0  2  2  0  0  0  2  0  2  2  0  2  2  2  2  2  2  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+117x^52+72x^53+341x^54+228x^55+383x^56+336x^57+529x^58+284x^59+426x^60+296x^61+347x^62+252x^63+245x^64+64x^65+91x^66+4x^67+20x^68+28x^70+22x^72+8x^74+1x^76+1x^80

The gray image is a code over GF(2) with n=236, k=12 and d=104.
This code was found by Heurico 1.16 in 0.849 seconds.