The generator matrix

 1  0  0  1  1  1  0  X  1  1  1  X X+2  1  1  1  2  1  X  0  1
 0  1  0  0  1  1  1 X+2  X  X X+1  1  1 X+1  1 X+2  X  0  1  1 X+3
 0  0  1  1  0 X+1  1  1  X X+1  3  3  0  2  X X+2  1 X+3  2  1  1
 0  0  0  X  2 X+2  X  X  X  2  0  0  X  X  0 X+2 X+2 X+2  2  0  X

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+94x^17+207x^18+262x^19+330x^20+330x^21+270x^22+240x^23+197x^24+86x^25+15x^26+10x^27+2x^29+4x^30

The gray image is a code over GF(2) with n=84, k=11 and d=34.
This code was found by Heurico 1.11 in 0.0194 seconds.