The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  0  1 X+2  1 X+2  1  1  1  1  1  1  X  1 X+2  1  0  2  1 X+2  1  1  1  1 X+2  1  X  0  1  1  2  X  1  1  2  0  1  0  0  1 X+2  2  2  0  X
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1 X+2  1  1  0  1 X+3  1  2 X+2 X+1  3 X+3  0  1 X+1  1  X  1  1  1  1 X+3  1 X+2  1  1 X+2  1  1  2  3  1  1  X X+3  1  0  0  1  0 X+2  1  X  1  0  0
 0  0  X  0 X+2  0 X+2  2  X  X X+2  0  X  2  0 X+2  0 X+2  X  2  X  X  0  2  X  2  X  2  0 X+2  0  X X+2  2  0 X+2  0  2  X  0  2  X  X X+2  0 X+2 X+2 X+2  X  X  2  X  X  2 X+2 X+2  0  X  0
 0  0  0  2  0  0  0  2  2  0  0  0  0  0  0  2  2  0  0  0  2  2  2  2  2  0  0  0  0  2  2  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  2  2  0  2  2  2  0  0  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  2  2  2  2  2  0  0  2  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  0  2  0  2  2  0  0  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  0  0  0  0  0  2  0  2  0  0  2  2  2  0  2  2  0  2  2  2  2  2  2  0  2  2  0  2  2  2  2  0  0  2  0  2  0  0  2  0  2  2  2  0  2
 0  0  0  0  0  0  2  0  2  0  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  2  0  2  2  2  2  0  2  0  2  0  2  2  2  0  0  0  2  0  2  0  0  2  2  2  2  0  2  0  0  0  0  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+156x^52+44x^53+393x^54+148x^55+511x^56+212x^57+557x^58+220x^59+512x^60+212x^61+416x^62+140x^63+291x^64+44x^65+140x^66+4x^67+54x^68+23x^70+5x^72+7x^74+6x^76

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 0.862 seconds.