The generator matrix

 1  1  1  1  1  1  X  X  X  X  1  1  1
 0 2X  0 2X  0  0 2X 2X  0  0 2X 2X  0
 0  0 2X 2X  0 2X 2X  0 2X  0 2X  0  0

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

Homogenous weight enumerator: w(x)=1x^0+3x^12+54x^13+3x^14+2x^17+1x^18

The gray image is a code over GF(2) with n=104, k=6 and d=48.
This code was found by Heurico 1.16 in -1.01e-007 seconds.