The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1 X+2  1  1  0  1  0  1  1  1 X+2  1  1  0  1  1  1 X+2  1  1  1  1  1  X  1  0  1  1  1  1  0  2  1  1  1  1  1  1  1  1  1 X+2  2 X+2  X  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1 X+2  3  1  3  1  0 X+2 X+1  1 X+2 X+1  1  0  2 X+2  1  3 X+2  X X+3  0  1  3  1 X+3  0 X+2  0  1  1  2  2 X+1  3  X  1 X+1 X+2 X+3  1  1  1  1 X+2
 0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  2  2  0  2  2  2  0  0  0  2  2  2  0  0  0  0  2  0  2  2  0  0  2  2  2  0  2  0  0  2  2  2  0  0  0  2
 0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  0  2  2  0  0  2  0  0  2  0  2  0  2  0  2  0  2  2  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  2  0  0  2  2  2  2  0  2  2  0  0  2  0  0  2  0  0  2  0  0  2  0  0  0  0  2  2  0  2  2  2  2  0  2  0  0  0  2  2  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  0  2  2  0  2  2  0  0  0  2  2  2  0  0  0  0  0  2  0  2  2  2  0  0  0  2  0  0  2  0  0  2  0  0  2  2  0  2  2
 0  0  0  0  0  0  2  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  2  2  2  0  2  2  2  2  0  2  2  2  0  0  2  2  0  0  2  0  2  0  0  0  2  2  2  0  0  0  2  2  0  0  0
 0  0  0  0  0  0  0  2  2  0  2  0  0  2  2  2  2  0  2  0  0  2  0  2  2  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  0  0  0  0  0  2  2  2  0  0  2  0  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+248x^52+264x^54+833x^56+680x^58+885x^60+536x^62+515x^64+56x^66+58x^68+9x^72+9x^76+2x^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 91.6 seconds.