The generator matrix

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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+16x^56+108x^57+38x^58+120x^59+36x^60+80x^61+10x^62+8x^63+10x^64+68x^65+14x^66+1x^70+1x^80+1x^86

The gray image is a code over GF(2) with n=240, k=9 and d=112.
This code was found by Heurico 1.16 in 0.0973 seconds.