The generator matrix

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

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+6x^11+15x^12+212x^13+15x^14+6x^15+1x^26

The gray image is a code over GF(2) with n=104, k=8 and d=44.
This code was found by Heurico 1.16 in 0 seconds.