The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+44x^51+218x^52+644x^53+1232x^54+2070x^55+3077x^56+4594x^57+5938x^58+8062x^59+9033x^60+11382x^61+11937x^62+13550x^63+12534x^64+12014x^65+9357x^66+8178x^67+5867x^68+4574x^69+2931x^70+1696x^71+978x^72+544x^73+261x^74+180x^75+94x^76+40x^77+24x^78+12x^79+6x^80

The gray image is a code over GF(2) with n=252, k=17 and d=102.
This code was found by Heurico 1.13 in 208 seconds.