The generator matrix

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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+72x^57+99x^58+100x^59+86x^60+30x^61+37x^62+22x^63+16x^64+22x^65+14x^66+4x^67+1x^70+1x^72+4x^73+1x^74+2x^75

The gray image is a code over GF(2) with n=240, k=9 and d=114.
This code was found by Heurico 1.13 in 0.063 seconds.