The generator matrix

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

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+58x^18+64x^19+59x^20+16x^21+24x^22+16x^23+11x^24+6x^26+1x^28

The gray image is a code over GF(2) with n=80, k=8 and d=36.
This code was found by Heurico 1.16 in 0.00261 seconds.