The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+247x^52+104x^53+499x^54+408x^55+913x^56+1040x^57+1092x^58+1620x^59+1480x^60+1856x^61+1295x^62+1668x^63+1119x^64+976x^65+748x^66+380x^67+467x^68+120x^69+173x^70+20x^71+109x^72+32x^74+14x^76+1x^78+2x^80

The gray image is a code over GF(2) with n=244, k=14 and d=104.
This code was found by Heurico 1.16 in 98.4 seconds.