The generator matrix
1 1 1 1 1 1 2 1 0 1 2X X X
0 X 0 X 2X 3X X 0 X X+2 2 2X+2 X+2
0 0 X X 2 X+2 3X X+2 2X 2 X 3X X+2
generates a code of length 13 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 11.
Homogenous weight enumerator: w(x)=1x^0+190x^11+148x^12+404x^13+80x^14+160x^15+27x^16+12x^17+2x^19
The gray image is a code over GF(2) with n=104, k=10 and d=44.
This code was found by Heurico 1.16 in -1.01e-007 seconds.