The generator matrix
1 0 1 1 1 2 1 0 1 1 2 1 1 1 1 1 1 1 1 1
0 1 1 0 1 1 2 1 0 X+1 1 3 0 0 X+3 X+3 X 1 X+3 X+2
0 0 X 0 0 0 0 0 0 2 2 X+2 X X+2 X+2 2 X+2 2 X X+2
0 0 0 X 0 0 2 X+2 X+2 0 X+2 2 2 X+2 0 X+2 2 X 0 X+2
0 0 0 0 X X+2 X+2 X X+2 0 2 X X+2 X+2 2 0 2 X+2 X+2 0
generates a code of length 20 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+414x^16+768x^18+1744x^20+768x^22+384x^24+16x^28+1x^32
The gray image is a code over GF(2) with n=80, k=12 and d=32.
This code was found by Heurico 1.16 in 18.1 seconds.