The generator matrix

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

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+240x^52+236x^53+608x^54+444x^55+930x^56+596x^57+890x^58+556x^59+893x^60+628x^61+697x^62+356x^63+476x^64+188x^65+265x^66+52x^67+71x^68+16x^69+27x^70+13x^72+9x^74

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 3.17 seconds.