The generator matrix

 1  0  0  1  1  1 X+2  1  2  1  1  X  1  X  2  1  1  1  2  2  1  1  X  2  1  1 X+2  1  1  2  1  1  0  1  1  0  2  1 X+2  1  1 X+2  1 X+2  0  1  1 X+2  1  1  1  1  X  1  1  2  1  1 X+2  1  1
 0  1  0  0  1 X+3  1  3  1  X  2  X X+3  1  0  1  X  3  1  1 X+2 X+3  1  0  0  0  1  2  2  1  3 X+2  1 X+1 X+1  0  1  2  X  1 X+2  1 X+3  2  1  1 X+1  1 X+1  2  2 X+1  1  1  X  1  0 X+3 X+2  2  0
 0  0  1  1  1  0  1  X X+1 X+3  X  1 X+1  0  1  3  X X+2  3 X+2  1  3 X+2  1 X+2  1  3 X+2 X+3  2  X  X  3  2  3  1  1  2  1 X+1 X+1 X+1  2  1  1  1  1  1 X+2 X+1  1  1 X+2  0  0 X+2 X+2  3  1  1  0
 0  0  0  X  0  0  2  0  2  X  0  0  2  0 X+2 X+2 X+2 X+2  X  X  0 X+2  2  2  2  X  0 X+2  X  X X+2  0  0  2 X+2 X+2 X+2 X+2  2  X  2  X  X X+2  2  2 X+2  X X+2  2  2  X X+2  X  2 X+2  X  0 X+2  X  0
 0  0  0  0  X X+2 X+2 X+2  X  0  0  2  X X+2  2 X+2  0  X X+2  X  0 X+2  0  X X+2 X+2  2 X+2  X  0  0  X  2  2  0  0  2  0  X  2  X  2 X+2 X+2 X+2  0  2 X+2  0  0  X  X  2  0  2  0  X  0 X+2  2  0
 0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  2  2  0  0  0  2  0  2  2  0  2  0  0  0  0  0  2  2  2  2  0  0  0  0  0  0  2  0  2  0  0  0  2  0  2  0  2  0  2  2  0  0  2  0  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+74x^52+200x^53+422x^54+620x^55+962x^56+1134x^57+1138x^58+1440x^59+1456x^60+1554x^61+1629x^62+1336x^63+1229x^64+1070x^65+757x^66+568x^67+354x^68+190x^69+97x^70+60x^71+44x^72+12x^73+15x^74+8x^75+8x^76+4x^78+2x^82

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 11.1 seconds.