The generator matrix

 1  0  0  1  1  1 X+2  1  2  1  1  X  1  X  2  1  1  1  2  2  1  1  X  2  1  1  1 X+2  2  1  1  1 X+2  2  1  1  1 X+2  1 X+2  1  1  1  0  1  1  1  0  0  1 X+2  1 X+2  1  1  X X+2  X  X X+2  0  1  1
 0  1  0  0  1 X+3  1  3  1  X  2  X X+3  1  0  1  X  3  1  1 X+2 X+3  1  0 X+1 X+2 X+2  1  1  3  0 X+1  1 X+2 X+3  X  3  1 X+2  1  3  3  3  1  2 X+3  1  1  1 X+1  1  X  1 X+1  X  0  1  2  1  1  2  3  2
 0  0  1  1  1  0  1  X X+1 X+3  X  1 X+1  0  1  3  X X+2  3 X+2  1  3 X+2  1  X  0 X+3 X+1 X+2  X  2 X+3 X+1  1 X+1 X+3  1  0  X  2 X+1  0  1 X+3 X+3 X+3  0 X+2  X  2 X+3  X  1 X+1  1  1  2  1  X X+3  1  1  0
 0  0  0  X  0  0  2  0  2  X  0  0  2  0 X+2 X+2 X+2 X+2  X  X  0 X+2  2  2  X  2 X+2  0  X  2  2  0  X  0 X+2  2 X+2 X+2  0  2 X+2  2  0  2 X+2  X X+2 X+2  X  X X+2 X+2 X+2  2  X  X X+2  X  X  2  2 X+2  0
 0  0  0  0  X X+2 X+2 X+2  X  0  0  2  X X+2  2 X+2  0  X X+2  X  0 X+2  0  X  2 X+2  X  2  2  2  X  0  0 X+2  0 X+2  2  0  X  X  0  2  2  2 X+2  X  2  X  2  X  X  X  X  2  2  2  2  2  2  X  0  0 X+2
 0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  2  2  0  0  0  2  0  2  2  2  2  2  0  0  0  0  2  2  0  2  0  0  2  0  2  2  2  0  2  0  0  2  2  2  2  0  2  0  0  0  0  0  2  0  0  2  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+77x^54+198x^55+436x^56+662x^57+839x^58+1072x^59+1238x^60+1456x^61+1560x^62+1550x^63+1478x^64+1414x^65+1290x^66+1018x^67+792x^68+498x^69+285x^70+228x^71+130x^72+60x^73+39x^74+30x^75+18x^76+6x^77+6x^78+3x^80

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 seconds.