The generator matrix
1 0 1 1 1 X+2 1 2 1 1 X 1 0 1 1 X 1 1 X
0 1 1 X+2 X+3 1 2 1 X+1 X 1 3 1 2 X+3 1 2 3 2
0 0 X 0 X+2 2 X X 0 X+2 X+2 0 2 X+2 X+2 X+2 0 2 X+2
0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 2
0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0
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+207x^16+288x^18+382x^20+96x^22+48x^24+2x^28
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 0.56 seconds.