The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  0  1  1 X+2  1  2  1  1 X+2  1  1  1  0  1  X  1  1  1  0  1 X+2  1  1  1 X+2  1  0  1  X  X  1  1  1  X  1  1  1  1  0  X  1  2  1  0  1  2  1  1  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  1  3  0 X+1  1 X+2  3  1  2  1 X+1  3  1 X+2 X+3  0  1  X  1  3  3  0  1 X+2  1 X+1  0 X+1  1 X+2  1 X+3 X+2  1  3  1  3  X  1 X+2  X  0  1  1  X  1  3  1  2  1  2 X+1  0
 0  0  2  0  0  0  0  0  2  2  0  0  2  2  2  0  0  2  2  0  0  2  2  0  2  2  0  2  0  2  2  0  2  0  0  2  0  0  2  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  2  2  0  2  2  0  0  2  0
 0  0  0  2  0  0  0  0  2  2  2  2  0  2  0  2  2  2  0  2  2  2  0  2  0  2  2  2  2  2  0  2  2  0  0  2  2  0  2  0  0  2  0  0  0  0  0  2  2  0  0  0  0  0  2  2  0  0  2  0  2  2  0
 0  0  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  0  2  2  0  2  2  2  0  0  2  0  2  2  0  2  0  0  0  2  2  2  0  0  2  0  0  0  2  0  2  0  0  0  2  2  2  2  2  2  0  0  2  2  0  0  2
 0  0  0  0  0  2  2  2  2  0  2  0  0  0  2  0  2  0  2  0  0  2  0  2  2  2  2  2  2  0  2  2  0  0  0  2  0  0  2  2  0  2  0  2  2  0  2  0  0  0  0  2  0  2  2  0  0  2  0  2  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+120x^58+227x^60+178x^62+180x^64+189x^66+100x^68+22x^70+1x^74+1x^76+3x^80+1x^82+1x^90

The gray image is a code over GF(2) with n=252, k=10 and d=116.
This code was found by Heurico 1.16 in 0.164 seconds.