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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+155x^52+478x^54+16x^55+737x^56+108x^57+1058x^58+424x^59+1630x^60+920x^61+2164x^62+1160x^63+2118x^64+912x^65+1552x^66+440x^67+1061x^68+104x^69+690x^70+8x^71+353x^72+4x^73+190x^74+80x^76+12x^78+6x^80+2x^84+1x^96

The gray image is a code over GF(2) with n=252, k=14 and d=104.
This code was found by Heurico 1.16 in 20.1 seconds.