The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  2  1  2  1  1  1 X+2  1  X  1  1  1 X+2  1  1  X  1  0  1  1  X  2  1  0  1  1  X  1  1  1  1  1  2  X  0  X  2  1  1  1  1  2  X X+2  1  1  1  1  0  X
 0  1  1 X+2 X+3  1  0 X+1  1  X  3  1  0  1  1  1  2 X+2  3  1 X+3  1  1  X X+1  1  1  2  1  2  1 X+2  3  1  1 X+3  1  X X+1  1 X+1 X+2  3  0  3  1  1  1  1  1 X+3 X+2  0  0  1  0  1  X  0  2  0  1  0
 0  0  X  0 X+2  0 X+2  0 X+2 X+2  2  X  2  X  X  0 X+2  0  2  2  X  X  0  X  0  2 X+2 X+2  0  2  0  0  2 X+2 X+2  X  2  X  X X+2  2  X  2  0 X+2  2  X X+2  0 X+2  2  0  2  0 X+2  X  X  0  2 X+2 X+2  0  0
 0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  0  2  0  0  2  2  0  2  0  0  2  0  2  0  2  0  0  0  0  2  0  2  0  2  0  2  2  2  0  0  0  2  0  2  2  2  0  0  0  2  0  2  0
 0  0  0  0  2  0  0  0  0  2  0  2  2  2  0  2  2  2  0  2  2  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  2  0  0  0  0  2  0  2  0  0  0  0  2  0  2  2  0  0  0  0  2  0  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  0  2  0  2  2  2  0  0  2  2  0  2  2  2  2  0  2  2  2  0  0  2  2  2  2  0  0  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  0  2  0  2  0  0  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2  2  2  2  0  0  0  2  0  2  2  0  2  0  0  2  2
 0  0  0  0  0  0  0  2  2  0  2  0  0  2  0  0  0  0  2  0  0  0  2  2  0  2  2  2  2  2  0  2  2  0  0  2  0  2  2  0  2  2  0  0  0  0  2  0  0  2  0  0  2  2  2  2  2  0  0  0  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+95x^54+28x^55+295x^56+176x^57+523x^58+440x^59+762x^60+560x^61+916x^62+656x^63+962x^64+592x^65+743x^66+392x^67+424x^68+208x^69+219x^70+20x^71+86x^72+53x^74+22x^76+10x^78+7x^80+1x^82+1x^88

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 3.95 seconds.