The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+368x^56+966x^58+1427x^60+1490x^62+1438x^64+1176x^66+779x^68+372x^70+122x^72+26x^74+17x^76+2x^78+7x^80+1x^84

The gray image is a code over GF(2) with n=252, k=13 and d=112.
This code was found by Heurico 1.16 in 51.5 seconds.