The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  0  1  1  X  2  1  1  X  0  1
 0  X  0  X  0  0  X X+2  2  0  2  2  X X+2  X  X  2  0  X  X  0
 0  0  X  X  0 X+2  X  2  0  0  X  X X+2  2 X+2 X+2  X  X  X  0  0
 0  0  0  2  0  0  2  0  0  2  0  2  0  2  2  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  0
 0  0  0  0  0  2  2  2  2  0  0  2  0  0  2  2  0  0  2  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+36x^16+52x^17+84x^18+128x^19+143x^20+160x^21+140x^22+120x^23+63x^24+44x^25+28x^26+8x^27+13x^28+4x^30

The gray image is a code over GF(2) with n=84, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0195 seconds.