The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1
 0  X X^2+2 X^2+X  0 X^2+X X^2+2 X+2  0 X^2+X X^2+2 X+2 X^2+X+2 X+2  2 X^2  0 X+2 X^2+X
 0  0  2  0  0  0  2  2  2  0  0  2  0  0  2  0  0  2  2
 0  0  0  2  0  0  2  2  0  2  2  2  0  0  0  0  2  0  2
 0  0  0  0  2  2  0  0  2  2  2  2  0  2  0  2  2  2  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+91x^16+96x^18+640x^19+119x^20+64x^22+12x^24+1x^36

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 seconds.