The generator matrix

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

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+52x^54+128x^55+223x^56+264x^57+432x^58+582x^59+634x^60+686x^61+701x^62+836x^63+868x^64+706x^65+511x^66+510x^67+376x^68+224x^69+177x^70+102x^71+49x^72+28x^73+40x^74+12x^75+22x^76+10x^77+5x^78+6x^79+3x^80+2x^81+1x^82+1x^86

The gray image is a code over GF(2) with n=252, k=13 and d=108.
This code was found by Heurico 1.16 in 4.33 seconds.