The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+8x^61+5x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=232, k=4 and d=122.
This code was found by Heurico 1.16 in 0.0721 seconds.