The generator matrix

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

generates a code of length 19 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+15x^16+224x^19+15x^22+1x^38

The gray image is a code over GF(2) with n=152, k=8 and d=64.
This code was found by Heurico 1.16 in 3.81e-009 seconds.