The generator matrix

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

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+493x^16+528x^17+1392x^18+1520x^19+3200x^20+2080x^21+3200x^22+1504x^23+1622x^24+464x^25+272x^26+48x^27+56x^28+4x^32

The gray image is a code over GF(2) with n=84, k=14 and d=32.
This code was found by Heurico 1.13 in 25.6 seconds.