The generator matrix

 1  0  1  1  1 X+2  1  1  X  1  1  2  1  1 X+2  1  1  1  2  1  1  0 X+2  1  1  1  1  1  1  1  0  1 X+2  X  1  1 X+2  0  1  0  2  1  1  1  1  X  1 X+2 X+2 X+2  0  1  1  1  0  1  1  1  1  0
 0  1  1 X+2 X+3  1  2 X+1  1  X  3  1 X+2  1  1  0 X+1  3  1  2  X  1  1 X+3  0  X  X  X  0  0  1  X  1  1  2  1  1  1 X+1  1  1  0 X+2  X  X  1  2  1  1  1  1 X+3  1  2  1 X+3 X+3  1  2  X
 0  0  X  0 X+2  0  X  2  X  X  2  X  0  X  0  2  0  2  X  X X+2  X  2 X+2  X  X  0  0  0 X+2  2 X+2 X+2  X  2  2  0 X+2  X  0  0  0  0 X+2  2  0  2 X+2  X  0  2 X+2  X  0  2  X  X  0  X  2
 0  0  0  2  0  0  0  2  2  0  2  2  2  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  0  2  2  0  0  2  0  2  0  2  0  2  0  2  0  0  2  0  2  2  0  2  2  0  2  0  0  2  2  2  2
 0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  2  2  2  2  2  0  2  0  0  0  0  2  0  2  2  0  2  2
 0  0  0  0  0  2  2  2  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  2  0  2  2  0  2  2  2  2  2  2  0  0  2  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+96x^54+80x^55+238x^56+152x^57+239x^58+152x^59+196x^60+160x^61+215x^62+144x^63+180x^64+72x^65+69x^66+8x^67+11x^68+21x^70+8x^72+5x^76+1x^88

The gray image is a code over GF(2) with n=240, k=11 and d=108.
This code was found by Heurico 1.16 in 0.305 seconds.