The generator matrix
1 0 1 1 1 0 1 1 0 1 2 1 1 0 0 X+2 1 X 1 0 1
0 1 1 0 1 1 0 X+1 1 2 1 X+1 0 1 X 1 X+2 X+2 0 0 2
0 0 X 0 0 0 0 0 0 2 2 X X X 2 X+2 X+2 X 0 X X
0 0 0 X 0 0 X+2 2 X+2 0 X X X X+2 X+2 2 0 X 2 2 0
0 0 0 0 X X+2 X+2 2 X X 0 2 0 2 X+2 X+2 X+2 X 0 X+2 0
0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2
generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+72x^15+219x^16+376x^17+576x^18+920x^19+1236x^20+1336x^21+1280x^22+984x^23+579x^24+328x^25+192x^26+72x^27+12x^28+8x^29+1x^40
The gray image is a code over GF(2) with n=84, k=13 and d=30.
This code was found by Heurico 1.16 in 0.76 seconds.