The generator matrix
1 1 1 1 1 1 X X 1 1
0 X 0 0 0 X 2 0 X X
0 0 X 0 X X X 2 X X+2
0 0 0 X X 0 0 X 2 X
0 0 0 0 2 0 2 0 0 2
0 0 0 0 0 2 2 2 0 2
generates a code of length 10 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+97x^6+292x^8+256x^9+751x^10+256x^11+308x^12+79x^14+7x^16+1x^18
The gray image is a code over GF(2) with n=40, k=11 and d=12.
This code was found by Heurico 1.16 in 0.104 seconds.