The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+35x^16+40x^17+63x^18+24x^19+180x^20+40x^21+84x^22+8x^23+8x^24+16x^25+12x^26+1x^34

The gray image is a code over GF(2) with n=80, k=9 and d=32.
This code was found by Heurico 1.16 in 0.00683 seconds.