The generator matrix

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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+132x^52+148x^53+382x^54+348x^55+552x^56+656x^57+714x^58+944x^59+689x^60+812x^61+682x^62+668x^63+449x^64+408x^65+258x^66+88x^67+109x^68+24x^69+64x^70+46x^72+12x^74+5x^76+1x^84

The gray image is a code over GF(2) with n=240, k=13 and d=104.
This code was found by Heurico 1.16 in 3.96 seconds.