The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+106x^57+150x^58+164x^59+178x^60+162x^61+185x^62+190x^63+200x^64+176x^65+193x^66+140x^67+62x^68+50x^69+43x^70+14x^71+4x^72+10x^73+5x^74+4x^75+3x^80+8x^81

The gray image is a code over GF(2) with n=252, k=11 and d=114.
This code was found by Heurico 1.16 in 19.8 seconds.