The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  2  1  1  1  X  1  X  1  1  1  1  2  1  0  1  1 X+2  1  1  2  1  1  X  2  1  1  1  X  1  1  1  1  0  1  0  1  1  1  0  2  2  1  0  X  1  0  1  1 X+2  1  X
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  1  0 X+1 X+2  1  3  1  2 X+1  3  X  1  2  1 X+3 X+2  1 X+2 X+1  1 X+3  X  1  1 X+1 X+3 X+3  1  0 X+2  1  3  1  2  1  X X+2 X+1  1  2  1 X+1  X  1 X+3  X X+3 X+1  1  1  X
 0  0  X  0  0  0  0  0  0  2  2 X+2  X  X  2  X X+2  X X+2  X  X  0 X+2 X+2  2  0  X  X  0  2  2 X+2  2  0  0  0  2  X  X  X  2  2 X+2  2 X+2  X  X X+2 X+2  0  2  X  X X+2 X+2 X+2 X+2  X  0  0 X+2  0  X
 0  0  0  X  0  0  X  2  X  2 X+2  2 X+2  2  X  0  X X+2  0  X  X X+2 X+2  0  X  0 X+2  X  X  2  0  2  2  X  0  0 X+2  0  0  X  2  0  X  0  2  2  0 X+2 X+2  0  X  X  2  X  0  2  0  X  2 X+2  X  0  0
 0  0  0  0  X  0  0 X+2  2  0  2  2 X+2  X X+2  X  X  2  X  X  0  X  X X+2  0  2 X+2  0  X  X  0  0  2 X+2 X+2 X+2  2  0  X  0  2  X  2  2  2  2  X  X  2 X+2  X  2 X+2  2  X  0  X  0  2  0  X  X  2
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  0  2  2  0  0  2  0  2  2  2  2  2  0  2  0  0  0  0  2  0  0  0  2  0  2  2  2  2  2  2  0  2  0  0  2  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  0  2  2  2  2  0  2  2  2  2  2  0  0  0  2  0  0  2  0  2  0  0  2  0  2  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  0  2  2  2  2  0  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+66x^53+163x^54+282x^55+383x^56+510x^57+790x^58+990x^59+1293x^60+1452x^61+1554x^62+1618x^63+1456x^64+1476x^65+1223x^66+992x^67+792x^68+482x^69+306x^70+178x^71+146x^72+94x^73+47x^74+34x^75+22x^76+16x^77+13x^78+2x^79+2x^80+1x^84

The gray image is a code over GF(2) with n=252, k=14 and d=106.
This code was found by Heurico 1.16 in 15.7 seconds.