The generator matrix

 1  0  1  1  1  X  1  1  2  1  1  0  1  1 X+2  1  1 X+2  1  1  2  1  1  X  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0 X+2  X  2  0 X+2  X  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  2 X+1  1  X  3  1  0  1  1 X+2 X+3  1 X+2 X+3  1  2 X+1  1  X  3  1  0  2  0  2  0 X+3 X+1 X+3 X+1 X+2  X X+2  X  3  1  3  1  1  1  1  1  1  1  1  1  0  2  X X+2  0  X  2 X+2  2 X+2  0
 0  0  X X+2  2 X+2  X  0  X  2 X+2  2  0  X  0  2 X+2  2  X  0 X+2 X+2  2  X  X  2 X+2  0  X  2 X+2  0  X X+2  2  X  0 X+2  2  X  0  2 X+2 X+2  2  0  X  X  0  0  X  X  0  2 X+2 X+2  2  2 X+2 X+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+18x^58+68x^59+90x^60+56x^61+12x^62+4x^63+5x^64+2x^86

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 0.0869 seconds.