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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+52x^53+134x^54+176x^55+207x^56+316x^57+404x^58+456x^59+590x^60+614x^61+803x^62+816x^63+697x^64+760x^65+542x^66+440x^67+348x^68+236x^69+178x^70+132x^71+109x^72+52x^73+46x^74+24x^75+29x^76+18x^77+5x^78+4x^79+2x^80+1x^92

The gray image is a code over GF(2) with n=252, k=13 and d=106.
This code was found by Heurico 1.16 in 5.37 seconds.