The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+84x^58+52x^59+159x^60+36x^61+64x^62+28x^63+32x^64+12x^65+18x^66+22x^68+1x^72+2x^74+1x^92

The gray image is a code over GF(2) with n=244, k=9 and d=116.
This code was found by Heurico 1.16 in 0.133 seconds.