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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+80x^54+210x^56+56x^57+268x^58+176x^59+259x^60+456x^61+256x^62+672x^63+255x^64+456x^65+218x^66+176x^67+190x^68+56x^69+157x^70+90x^72+32x^74+13x^76+10x^78+4x^80+2x^82+1x^84+1x^86+1x^100

The gray image is a code over GF(2) with n=252, k=12 and d=108.
This code was found by Heurico 1.16 in 1.45 seconds.