The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X X^2
0 X^2+2 0 X^2 0 2 X^2+2 X^2+2 0 2 X^2 X^2+2 2 X^2+2 2 X^2 2 X^2 X^2+2
0 0 X^2+2 X^2 0 X^2 X^2 2 0 X^2 X^2 0 X^2 2 0 0 2 X^2+2 2
0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2
0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 0 2
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+98x^16+272x^18+256x^19+344x^20+16x^22+36x^24+1x^32
The gray image is a code over GF(2) with n=152, k=10 and d=64.
This code was found by Heurico 1.16 in 0.328 seconds.