The generator matrix

 1  0  0  1  1  1  0  X  1  X  1  1  1  1  1  X  X  1  1
 0  1  0  0  1  1  1 X+2  0  1  1  3 X+1 X+3  X  2  1 X+1  1
 0  0  1  1  2  1  3  1 X+1  1  X X+1  X X+3 X+3  1 X+3 X+2  X
 0  0  0  X  0  2  2  0  2 X+2 X+2 X+2  X X+2  X  0  X  0  2

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+417x^16+608x^18+664x^20+288x^22+70x^24

The gray image is a code over GF(2) with n=76, k=11 and d=32.
This code was found by Heurico 1.11 in 25.8 seconds.