The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  2  1  2  1  1  X  1  X  1  1  1 X+2  X  1  2  1 X+2  2  1  1  X  1  1  1 X+2  2  1  X  0  1  X  1  2  1  1  0  0  1  1  1  1  1  0  X  X  2  1 X+2  2  1  1  1
 0  1  0  0  1 X+3  1 X+2 X+3  1  3  1  X  X  X  0  X  3  1  1  1 X+2  2  1 X+3  1  0  1  X X+1  0  1  X  X X+1  1  1  3  X  0  X  1  3  1 X+1  3  1  1 X+3 X+1  0  2  X  1  2  1  1  0  1 X+2  3 X+2  0
 0  0  1  1 X+1  0 X+3  1 X+3 X+2  X  3  X  1 X+1 X+2  1  1  1  0  1  0  1  2  X  2 X+3  3  1  3  1  0 X+3  X X+1 X+1  2  0  1  1  3 X+3  2  2  3  3 X+1 X+3  X  X  0 X+1  X  1  1  2 X+1  3  X  1  X  2  0
 0  0  0  X  X X+2  0 X+2 X+2  0 X+2  2  2  0  X  2  2  X  2 X+2  X  0  2  0  2 X+2  2  X  X  0  0  X  X X+2  0 X+2 X+2  2  X  X  2  2  2  X X+2  2  X  0 X+2  2 X+2  X  0 X+2  0  X X+2  2  0  X  0  0  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  0  0  2  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  0  0  2  2  0  2  2
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  0  2  2  0  0  0  0  2  2  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  2  0  0  0  2  0  0  2  2  0  0  0  2  2  0  0  0  0  2  2  2  0  2  2
 0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  0  0  0  2  2  0  0  0  2  2  0  0  2  2  0  0  0  0  2  2  0  0  0  2  0  2  2  2  2  0  0  0  0  2  0  0  2  0  0  0  2  2  2  0  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+78x^54+242x^55+448x^56+588x^57+778x^58+1090x^59+1332x^60+1374x^61+1536x^62+1632x^63+1516x^64+1462x^65+1171x^66+1010x^67+811x^68+522x^69+345x^70+172x^71+101x^72+74x^73+51x^74+12x^75+13x^76+8x^77+5x^78+2x^79+2x^80+4x^81+4x^82

The gray image is a code over GF(2) with n=252, k=14 and d=108.
This code was found by Heurico 1.16 in 11.7 seconds.