The generator matrix

 1  0  1  1  1  2  X  1  1  1 X+2  1  1  1  2  1  1  2  1  1 X+2  1  1 X+2  1  1  1  1  1  1  0 X+2  1  1  2 X+2  1  1  1  1  1  1  1  1  0  X  1  1  2  X  0  1  0  1  1  1 X+2  2  2  1  1
 0  1  1 X+2 X+3  1  1 X+1  X  3  1 X+2 X+2 X+1  1  2 X+1  1  2  1  1  2  1  1  0 X+2  2  X X+1  3  1  1 X+3  1  1  1 X+2  0  0 X+2  0  0  2  0  X  X  3  0  X  1  1  0  1  1  3  1  1  1  1 X+3 X+3
 0  0  X  0 X+2  X  X  2  X  2  0  0 X+2  2 X+2  X  X  0  0 X+2  0 X+2  2 X+2  0  2  X X+2  0  2  0  2  X  X  X X+2 X+2  0  X  0  2 X+2  2 X+2 X+2  2  X  0  2  0  2  X X+2  0  X X+2  2  X X+2  0  X
 0  0  0  2  0  2  2  2  0  2  0  2  0  0  0  2  2  2  0  2  2  2  0  0  2  0  0  2  0  0  0  0  2  2  2  2  2  2  0  0  2  0  2  0  2  2  0  0  2  2  2  2  0  2  0  0  2  0  0  0  0
 0  0  0  0  2  2  0  0  2  2  2  2  0  2  2  2  0  0  2  2  2  0  0  0  2  2  0  0  0  2  2  0  2  0  0  2  2  0  2  0  2  2  0  0  2  2  2  2  0  0  2  2  2  0  0  2  0  0  0  0  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+172x^57+80x^58+182x^59+45x^60+156x^61+82x^62+114x^63+12x^64+74x^65+28x^66+50x^67+3x^68+10x^69+2x^70+2x^71+1x^72+2x^73+2x^77+4x^79+2x^80

The gray image is a code over GF(2) with n=244, k=10 and d=114.
This code was found by Heurico 1.16 in 56.9 seconds.