The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1 X^2
 0  X X^2+2 X^2+X  0 X^2+X X^2+2 X+2  2 X^2+X+2 X^2 X+2 X^2+2
 0  0  2  2  2  0  0  2  2  2  0  0  0

generates a code of length 13 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+98x^12+64x^13+88x^14+4x^16+1x^24

The gray image is a code over GF(2) with n=104, k=8 and d=48.
This code was found by Heurico 1.16 in -3.24e-008 seconds.