The generator matrix

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

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+80x^57+77x^58+86x^59+110x^60+28x^61+50x^62+24x^63+14x^64+32x^65+1x^66+2x^67+1x^72+4x^73+2x^80

The gray image is a code over GF(2) with n=240, k=9 and d=114.
This code was found by Heurico 1.16 in 0.143 seconds.