The generator matrix
1 0 1 1 1 2 1 1 X 1 1 0 1 1 1 1 1 1 0 X+2
0 1 1 X+2 X+1 1 2 X+3 1 2 X+1 1 2 X X X X+1 3 1 1
0 0 X 0 2 X X+2 X X+2 X+2 2 0 2 0 X X+2 X+2 X X 0
0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2
generates a code of length 20 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.
Homogenous weight enumerator: w(x)=1x^0+28x^17+148x^18+48x^19+84x^20+28x^21+148x^22+12x^23+1x^24+8x^25+4x^27+2x^28
The gray image is a code over GF(2) with n=80, k=9 and d=34.
This code was found by Heurico 1.16 in 0.00573 seconds.