The generator matrix
1 0 1 1 1 2 1 1 1 2 1 1
0 1 1 0 X+1 1 0 X+1 X 1 2 0
0 0 X 0 X 2 X 2 X+2 0 0 0
0 0 0 X X X+2 X+2 2 0 X X 0
generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+29x^8+64x^9+99x^10+190x^11+254x^12+204x^13+102x^14+48x^15+20x^16+4x^17+7x^18+2x^19
The gray image is a code over GF(2) with n=48, k=10 and d=16.
This code was found by Heurico 1.16 in 0.00487 seconds.