The generator matrix

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

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+25x^52+100x^53+216x^54+342x^55+436x^56+548x^57+645x^58+698x^59+737x^60+764x^61+783x^62+766x^63+625x^64+474x^65+348x^66+226x^67+199x^68+102x^69+42x^70+44x^71+22x^72+26x^73+11x^74+4x^75+3x^76+2x^77+3x^78

The gray image is a code over GF(2) with n=244, k=13 and d=104.
This code was found by Heurico 1.16 in 3.91 seconds.