The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+60x^55+160x^56+16x^57+349x^58+194x^59+464x^60+112x^61+544x^62+268x^63+596x^64+112x^65+525x^66+184x^67+288x^68+16x^69+96x^70+56x^71+23x^72+15x^74+6x^75+3x^80+7x^82+1x^88

The gray image is a code over GF(2) with n=252, k=12 and d=110.
This code was found by Heurico 1.16 in 9.33 seconds.