The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X X X X X X X X X 1 1 1 1 1 1 2X+2 1
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 2X 0 2X 0 2X 2X+2 2X+2 2X+2 2X+2 0 2X 0 2 0 2 0 2X 2X 2
0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 0 0
0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 0 2X 2X 2X 0 0 2X
generates a code of length 40 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 38.
Homogenous weight enumerator: w(x)=1x^0+9x^38+54x^39+141x^40+32x^41+6x^42+8x^43+2x^44+1x^46+2x^55
The gray image is a code over GF(2) with n=320, k=8 and d=152.
This code was found by Heurico 1.16 in 0.047 seconds.