The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  X X+2  1  X  2  1  1  1  1  X  0  X  1  X  1  1 X+2  1  1 X+2  1  X  2  1  1  0  2  1  0  X  1  1  1 X+2  1  2  1  X  2  1  1  X X+2 X+2  0 X+2  1  1
 0  1  0  0  X  2 X+2  1  3  1  3  1  1 X+1  0 X+2 X+1  0 X+1  2  1  1  1 X+1  X X+1 X+2  1 X+3 X+2 X+2  0  1 X+2 X+2 X+2  1  1 X+2  1  1  X X+1 X+3  1  2  0  3  0  1  1  3  X  0  X  0  1 X+3 X+2
 0  0  1  0  X  3  1  3  2  1 X+1 X+1  X  2  1  1  1 X+3  X X+2  1  X X+3  1  1 X+2  0  2  X X+1  1  0  X  X  1  2 X+1 X+3 X+3 X+2 X+2  1 X+1  0 X+1  3  X  2 X+2  0 X+1 X+2  0  1  1  0  3  1  2
 0  0  0  1 X+1  1  X  3  3  2 X+3  X  1  2 X+3 X+1  1 X+1 X+2 X+1 X+2  0 X+3 X+2  2 X+3  2  0  0  0 X+3 X+2  3  1  2 X+1  X X+2 X+3 X+2 X+1 X+3  0  1  1 X+1  1 X+3  1  2  1 X+2  1  0  2  1 X+1  3  0
 0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  0  0  2  2  2  0  2  0  0  0  2  2  2  0  2  2  2  0  2  2  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  2  2  0  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+105x^52+330x^53+562x^54+668x^55+817x^56+646x^57+773x^58+742x^59+768x^60+596x^61+636x^62+428x^63+434x^64+254x^65+189x^66+134x^67+45x^68+30x^69+16x^70+12x^71+6x^72

The gray image is a code over GF(2) with n=236, k=13 and d=104.
This code was found by Heurico 1.13 in 1.07 seconds.