The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 X X 1 2 0 X X 1 X 1 2 0 X 2 X 2 X X 2 0
0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2
generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 43.
Homogenous weight enumerator: w(x)=1x^0+8x^43+5x^44+2x^46
The gray image is a code over GF(2) with n=164, k=4 and d=86.
This code was found by Heurico 1.16 in 0.0194 seconds.