The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+65x^12+96x^14+416x^16+384x^17+1056x^18+1152x^19+1855x^20+1152x^21+1056x^22+384x^23+412x^24+96x^26+63x^28+3x^32+1x^36

The gray image is a code over GF(2) with n=80, k=13 and d=24.
This code was found by Heurico 1.16 in 0.361 seconds.