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

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+13x^56+32x^57+50x^58+320x^59+50x^60+32x^61+13x^62+1x^118

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 0.0964 seconds.