The generator matrix

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

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+186x^57+91x^58+178x^59+44x^60+112x^61+56x^62+132x^63+31x^64+102x^65+23x^66+32x^67+2x^68+16x^69+6x^70+8x^71+2x^75+1x^80+1x^88

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 12.3 seconds.