The generator matrix
1 0 1 1 1 2 1 1 0 1 1 0 0 1 1 1 1 2 2 1 1 1 1 0 0 X+2 X+2 2 X X X+2 X X+2 X 0 1 1 X 1 1
0 1 1 0 X+1 1 X+3 0 1 2 1 1 1 X+1 X+2 1 X+2 1 1 X X+1 X+2 3 1 1 1 1 X 1 1 1 1 1 1 X X+1 3 1 2 2
0 0 X 0 0 0 0 X+2 X+2 X+2 X X+2 2 X+2 X 2 2 X+2 X X X+2 2 2 X+2 2 X X+2 X 0 2 0 0 X+2 X X 2 0 X+2 X X
0 0 0 X 2 X+2 X+2 X+2 X+2 2 X 0 0 X X+2 2 0 X 2 2 0 X X+2 2 X X X+2 0 X X 0 2 X 2 X 2 X X X X+2
generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+91x^36+148x^37+130x^38+124x^39+121x^40+96x^41+80x^42+128x^43+55x^44+12x^45+22x^46+4x^47+4x^50+2x^52+4x^54+2x^56
The gray image is a code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 0.0494 seconds.