The generator matrix

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

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+221x^16+264x^18+376x^20+120x^22+42x^24

The gray image is a code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0145 seconds.