The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+335x^58+335x^60+425x^62+309x^64+375x^66+177x^68+51x^70+5x^72+22x^74+2x^76+8x^78+1x^80+2x^84

The gray image is a code over GF(2) with n=252, k=11 and d=116.
This code was found by Heurico 1.16 in 9.72 seconds.