The generator matrix

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

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+117x^56+207x^58+214x^60+208x^62+144x^64+84x^66+33x^68+12x^70+1x^74+1x^76+1x^80+1x^96

The gray image is a code over GF(2) with n=244, k=10 and d=112.
This code was found by Heurico 1.16 in 0.144 seconds.