The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 X X 1 X X X X X X X X 1 1 1 1 1 1 1 1 1 1 1 1 1 X
0 2 0 2 0 2 0 2 2X 2X+2 2X 2X+2 2X 2X+2 2X 2X+2 2 2 2 2 0 0 2X 0 2X 0 2X 2X+2 2X+2 2X+2 0 2X+2 2 2X+2 2X 2X 2 2X+2 0 2X 2 2X+2 0 2X 2 0
0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0
0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0
generates a code of length 46 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 45.
Homogenous weight enumerator: w(x)=1x^0+30x^45+207x^46+15x^48+2x^61+1x^62
The gray image is a code over GF(2) with n=368, k=8 and d=180.
This code was found by Heurico 1.16 in 0.063 seconds.