The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+355x^56+276x^58+502x^60+200x^62+472x^64+164x^66+44x^68+25x^72+6x^76+3x^80

The gray image is a code over GF(2) with n=244, k=11 and d=112.
This code was found by Heurico 1.16 in 14.9 seconds.