The generator matrix

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

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+23x^58+16x^59+40x^60+352x^61+40x^62+16x^63+23x^64+1x^122

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 6.69 seconds.