The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 X 1 0 1 1 X 1 1 1
0 1 1 X+2 X+3 1 2 X+1 1 X 3 1 0 1 X+2 X+1 1 1 X+2 0
0 0 X 0 X+2 0 X 2 X+2 X 0 X 0 2 0 2 X+2 X 2 0
0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2
0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0
0 0 0 0 0 2 2 0 0 0 2 0 2 0 2 2 2 0 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+153x^16+64x^17+352x^18+192x^19+544x^20+192x^21+336x^22+64x^23+126x^24+16x^26+8x^28
The gray image is a code over GF(2) with n=80, k=11 and d=32.
This code was found by Heurico 1.16 in 0.0567 seconds.