The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  X  1  1  2  1  1  X  0  X  1  2  1  1  1  1  X  2  1  1  1 X+2  0  1  1  2  1  1  1  1  1  1  1 X+2  2  1 X+2  1  1  1  0  1  X  1  1  1  1  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1  1 X+2  1  0  3  1  X  1 X+1  1  2  0  3  X  X  1  3  X X+1  1  1  0  2 X+2 X+3  X X+3 X+3  X  X X+3  0  X  3  0  3  2  2  1  0  1  X  1 X+2  3  3 X+3
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  2  X  0 X+3 X+3 X+1  2  1  3 X+3  1  1  3  0  X  1  X  0  X  3  X X+2 X+3  2  1 X+2 X+3 X+1  3  1  2 X+3  1  1  2  1  X  2 X+1 X+3 X+2 X+2  3  1 X+1  2 X+1 X+1
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  0  0  0  0  0  0  2  0  0  0  0  2  0  2  2  0  2  2  0  0  2  0  2  2  2  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0  0  0  2  0  2  0  2  2  2  0  2  0  0  0  2  0  2  0  0  0  2  0  2  2  0  0  0  0  2  2  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  0  2  2  2  2  2  2  2  0  0  2  2  2  0  0  2  0  2  2  0  0  2  2  2  0  2  0  0  2  2  0  0  2  0  2  0  0  2  2  0  0  0  0  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  2  0  2  0  0  2  2  0  2  2  2  2  0  2  2  2  0  2  2  2  2  2  0  2  0  2  0  2  0  2  0  2  2  0  2  2  0  0  0  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  2  2  0  0  0  2  0  2  2  2  0  2  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  0  0  2  2  0  2  2  0  0  0  2  0  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+70x^54+284x^55+323x^56+818x^57+619x^58+1304x^59+911x^60+1694x^61+1163x^62+2034x^63+1170x^64+1846x^65+944x^66+1256x^67+592x^68+668x^69+227x^70+208x^71+51x^72+86x^73+37x^74+32x^75+17x^76+6x^77+11x^78+2x^79+7x^80+2x^81+1x^86

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 12.3 seconds.