The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  2  2  0  2  0  2  2  0  0  2  2  2  0  2  0  2  0  0  2  2  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  2  2  2  0  2  2  2  2  2  2  0  2  2
 0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0  2  2  2  2  0  2  0  0  0  2  0  2  0  2  2  2  0  2  2  0  2  0  0  2  2  0  0  0  0  0  0  0  0  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  2  0  2  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  0  0  2  2  2  2  0  2  0  2  2  2  2  0  2  2  2  0  0
 0  0  0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  0  2  2  2  0  0  2  0  0  0  0  0  2  2  0  0  0  2  0  0  2  0  2  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+39x^56+432x^60+39x^64+1x^120

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 0.112 seconds.