The generator matrix

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

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+242x^54+723x^56+924x^58+736x^60+574x^62+429x^64+250x^66+152x^68+56x^70+7x^72+2x^74

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 0.727 seconds.