The generator matrix

 1  0  0  1  1  1 X+2  1  2  1  0  1  X  1  X  X  2  0  2
 0  1  0  0  3 X+1  1  X  0 X+1  1 X+2  1  1  1  1  2  1  1
 0  0  1  1  3  0  1 X+2  1  X  2  0  3  X  X X+3  1  X  X
 0  0  0  X  X  2 X+2  2 X+2 X+2 X+2 X+2  2  2 X+2  X  X  X X+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+411x^16+612x^18+678x^20+280x^22+60x^24+4x^26+2x^28

The gray image is a code over GF(2) with n=76, k=11 and d=32.
This code was found by Heurico 1.16 in 42.7 seconds.