The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+380x^60+288x^62+119x^64+32x^66+120x^68+64x^70+8x^72+12x^76

The gray image is a code over GF(2) with n=252, k=10 and d=120.
This code was found by Heurico 1.16 in 49.8 seconds.