The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 X X 1 1 2 0 X X X X 2 0 1 2 X X X 2 2 0 1
0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0
generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.
Homogenous weight enumerator: w(x)=1x^0+8x^45+5x^46+1x^48+1x^50
The gray image is a code over GF(2) with n=172, k=4 and d=90.
This code was found by Heurico 1.16 in 0.023 seconds.