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  X  1  X  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  2
 0  X  0 X+2  0 X+2  0  X  0 X+2  0  X  0 X+2  0  X  0 X+2  0  X  0 X+2  0  X  2 X+2  2  X  2  2 X+2  2  2  X  0 X+2  2 X+2  2 X+2  2 X+2  0  X  2  X  2  X  2  X  0  2 X+2 X+2  2 X+2  2  X  2
 0  0  2  0  0  0  2  0  0  0  0  0  2  0  2  0  0  2  0  2  0  2  0  2  2  2  2  2  2  0  2  0  2  2  2  0  2  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  0  0  0  2  0  2  0
 0  0  0  2  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  0  0  2  0  2  0  0  2  2  2  0  0  2  0  2  0  0  2  0  2  2  0  0  2  2  0  0  2  0
 0  0  0  0  2  0  2  0  0  2  2  2  2  2  0  2  2  0  2  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  0  0  0  2  0  2  0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  0  2
 0  0  0  0  0  2  0  2  2  2  2  0  2  0  2  2  0  0  2  2  2  0  0  2  0  0  2  2  2  2  0  2  0  2  0  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  2  0  0  2  2  2  0  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+90x^56+128x^58+264x^60+28x^64+1x^112

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 0.141 seconds.