The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+136x^56+152x^58+110x^60+64x^62+37x^64+8x^66+2x^68+1x^72+1x^104

The gray image is a code over GF(2) with n=236, k=9 and d=112.
This code was found by Heurico 1.16 in 0.0928 seconds.