The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 X X 1 1 X 2 X 0 X 1 X X 2 0 2 1 X 2 X 2 0 2 X
0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0
generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.
Homogenous weight enumerator: w(x)=1x^0+15x^48
The gray image is a code over GF(2) with n=180, k=4 and d=96.
This code was found by Heurico 1.16 in 0.0276 seconds.