The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+144x^57+69x^58+194x^59+92x^60+228x^61+28x^62+76x^63+21x^64+44x^65+30x^66+42x^67+12x^68+24x^69+4x^71+2x^72+8x^73+1x^74+4x^75

The gray image is a code over GF(2) with n=244, k=10 and d=114.
This code was found by Heurico 1.11 in 0.107 seconds.