The generator matrix
1 0 1 1 1 1 1 1 1 0
0 1 X+1 X+2 1 0 X+1 X+2 3 X
0 0 2 0 0 0 2 2 2 2
0 0 0 2 0 2 2 2 0 2
0 0 0 0 2 2 0 2 2 0
generates a code of length 10 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+20x^7+98x^8+32x^9+192x^10+72x^11+88x^12+4x^15+5x^16
The gray image is a code over GF(2) with n=40, k=9 and d=14.
This code was found by Heurico 1.16 in 0.0186 seconds.