The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  1  0  1  1  2  1  1  1  0  1  1  X  1  1  X  1  1  0  1  X  1  1
 0  X  0  0  0  X X+2  X  2  2  X  0  0  X  X X+2  0  0 X+2  X  2  X X+2  X  2  0  2  2 X+2  0  X X+2  X X+2 X+2  X  X  2  X  0 X+2  X  X  X X+2  X X+2  2  2  0 X+2  0  X  X  X X+2  0  X X+2
 0  0  X  0  X  X  X  0  2  0 X+2  X X+2  0 X+2  0  2 X+2  2 X+2  0  2  X  0 X+2 X+2  X  2  X  2  0 X+2  X  X  0  0  2  0  2  2 X+2  X  X  2  X  2 X+2  0 X+2  0  2  X  0 X+2  2 X+2 X+2  0  0
 0  0  0  X  X  0  X X+2  0  X  2  X  2 X+2  X  0  2  X  X  0 X+2  2 X+2 X+2  0  0 X+2  X  X  0  0  0  0  0  2  X  X  2  2 X+2  X  2  2  2  2  2  0  2 X+2  X  2  X  0  X  0  0  2 X+2 X+2
 0  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  2  0  0  0  2  0  2  2  2  2  0  0  2  0  2  2  2  2  2  2  2  2  0  2  2  0  0  2  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0
 0  0  0  0  0  2  0  2  0  0  0  2  2  0  2  0  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  0  0  2  2  0  0  2  0  0  0  0  2  0  0  2  2  0  2  2  0  0  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+112x^52+212x^54+258x^56+478x^58+458x^60+248x^62+133x^64+72x^66+53x^68+12x^70+8x^72+2x^74+1x^100

The gray image is a code over GF(2) with n=236, k=11 and d=104.
This code was found by Heurico 1.16 in 0.372 seconds.