The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 X X 2 0 1 X 1 1
0 X 0 0 0 X X+2 X 2 2 0 0 X 2 X X 2 0 0 X 2
0 0 X 0 X X X 0 2 0 X X+2 X+2 2 0 0 X X+2 X+2 X X
0 0 0 X X 0 X X+2 0 X X 2 2 X+2 X+2 X 0 0 0 2 X
0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2
0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 0
generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+103x^16+276x^18+128x^19+411x^20+256x^21+378x^22+128x^23+255x^24+80x^26+29x^28+2x^30+1x^32
The gray image is a code over GF(2) with n=84, k=11 and d=32.
This code was found by Heurico 1.16 in 0.0666 seconds.