The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1 X+2  0  1  0  1 X+2  1  2  1  1  X  1 X+2  X  1 X+2 X+2  1  0  X  1  1  1  0  1  0  2  X X+2  1  0  1  1  X  2  1  1  0  1 X+2  1  1  X  1  1  X  1  X  2  1
 0  1  0  0  0  0  0  0  0  2  2  2  2  0  0 X+3  1 X+1  1  3  1  3 X+3  1  1  X  1  3  X  1 X+2  X  1  1  1  X  1  2  1 X+2  X X+2 X+3 X+2  X  3  1  X  3  0 X+2  X  2 X+2 X+3  0  X  1  1  3  0 X+2  0
 0  0  1  0  0  2  1  3  1  X  0 X+1 X+3  1  1 X+2 X+1 X+3 X+3  X X+2 X+2 X+3  2  2  2 X+2  3  1 X+1  3  1  0  0  2  X X+1 X+2 X+2  0  1  1  0  2 X+1  1  3  1 X+3  X  1 X+3  1  X X+3  1  0 X+1  2  2  1  1  0
 0  0  0  1  0  3  1  2  3  0 X+1  X  3  0 X+3  2  3 X+3  2 X+1 X+1  3  X  1  X  1  X X+2 X+3 X+1  X  2  X X+2  0  1  X X+2 X+1  1  0 X+1  2  1 X+2 X+1  1 X+3  0  X  1  3  X  0  3  2  2 X+1  2  2 X+2  X X+1
 0  0  0  0  1  1  2  3  3 X+1  X  0  3 X+3  X  2  3 X+1  X X+3  1 X+2  1  X X+3  3 X+3 X+2  3  0  2  1  2  1  X  X  1 X+2 X+2  3  0 X+3 X+3 X+1 X+1  1 X+1  2 X+1 X+2  0  2  3 X+3  0  0 X+1 X+3  3  0  0  0 X+3

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+167x^54+508x^55+906x^56+1220x^57+1859x^58+1986x^59+2595x^60+2554x^61+3164x^62+2940x^63+3293x^64+2538x^65+2658x^66+1918x^67+1646x^68+1148x^69+821x^70+392x^71+212x^72+118x^73+63x^74+28x^75+19x^76+6x^77+4x^78+4x^79

The gray image is a code over GF(2) with n=252, k=15 and d=108.
This code was found by Heurico 1.13 in 15.1 seconds.