The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  1  1  X  X  1  1  0  1  1  X  1  1  1  1  1  1  1  1  1  1  0 X+2  0  X  0  2 X+2 X+2  2  0  2  0  X  0  X  X  2 X+2 X+2  1  1  1  1  2  X  1  1
 0  1  1 X+2 X+1  1  3  2  1  2  1  1  X X+3  1  1  0 X+2  1 X+3  X  1  1  1 X+3 X+3 X+1  3 X+1  3 X+1  3  0  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  2  2  0  0  1  2  X X+2
 0  0  X  0  2  0  2  X  X X+2 X+2 X+2  X  X  0  X  0 X+2  0  2  0 X+2  2 X+2 X+2  X  0  2 X+2  X  2  0  X  0  2 X+2  X X+2  X  2  0  2  0 X+2  X  2  2  0  X X+2 X+2  X  0  2 X+2  2  2 X+2  X
 0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  2  2  0  2  0  0  2  0  0  2  0  2  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  0  0  0  2  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+77x^56+56x^57+152x^58+32x^59+81x^60+32x^61+40x^62+25x^64+8x^65+2x^68+4x^72+1x^80+1x^84

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 0.118 seconds.