The generator matrix

 1  0  0  0  1  1  1  2  1  1 X+2 X+2 X+2  1  1  X  2  2  1  1
 0  1  0  0  0  1  1  1  2 X+2  X  1  2 X+3  X  1  0  1  0  3
 0  0  1  0  1  1  0  3  2  3  1 X+1  1 X+1  X  0 X+2  X X+1  2
 0  0  0  1  1  2  3  1 X+1  X X+3  0  X X+3  3 X+1  1 X+1  X  1
 0  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  0  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+124x^15+369x^16+658x^17+954x^18+1246x^19+1430x^20+1332x^21+1028x^22+600x^23+274x^24+122x^25+34x^26+14x^27+6x^28

The gray image is a code over GF(2) with n=80, k=13 and d=30.
This code was found by Heurico 1.13 in 0.231 seconds.