The generator matrix

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

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+9x^18+24x^19+58x^20+24x^21+10x^22+1x^26+1x^32

The gray image is a code over GF(2) with n=80, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00184 seconds.