The generator matrix

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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+152x^54+208x^55+442x^56+384x^57+450x^58+404x^59+428x^60+280x^61+321x^62+264x^63+248x^64+160x^65+134x^66+52x^67+78x^68+40x^69+25x^70+19x^72+2x^74+4x^78

The gray image is a code over GF(2) with n=240, k=12 and d=108.
This code was found by Heurico 1.16 in 0.741 seconds.