The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+116x^57+286x^58+402x^59+409x^60+504x^61+415x^62+346x^63+282x^64+350x^65+180x^66+222x^67+143x^68+136x^69+135x^70+60x^71+53x^72+30x^73+16x^74+8x^75+2x^79

The gray image is a code over GF(2) with n=252, k=12 and d=114.
This code was found by Heurico 1.16 in 0.662 seconds.