The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+94x^15+184x^16+392x^17+280x^18+782x^19+626x^20+816x^21+272x^22+394x^23+142x^24+72x^25+24x^26+10x^27+6x^28+1x^32

The gray image is a code over GF(2) with n=80, k=12 and d=30.
This code was found by Heurico 1.16 in 10.3 seconds.