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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+28x^58+198x^60+28x^62+1x^120

The gray image is a code over GF(2) with n=240, k=8 and d=116.
This code was found by Heurico 1.16 in 0.127 seconds.