The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1
0 X 2X+2 X+2 0 X+2 2X+2 3X 0 X+2 2X+2 3X 3X+2 3X 2X 2 0 3X X+2
0 0 2X 0 0 0 2X 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X
0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 2X
0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0
generates a code of length 19 over Z4[X]/(X^2+2) 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 -6.48e-008 seconds.