The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+162x^18+96x^19+74x^20+72x^21+40x^22+16x^23+29x^24+8x^25+14x^26

The gray image is a code over GF(2) with n=80, k=9 and d=36.
This code was found by Heurico 1.13 in 1.07e-007 seconds.