The generator matrix

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

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+33x^56+196x^57+32x^58+80x^59+45x^60+68x^61+16x^63+5x^64+12x^65+10x^68+12x^69+1x^72+1x^76

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 0.062 seconds.