The generator matrix
1 1 1 1 1 1 1 1 1 1 X X 2 1 2X 1 1 1 1 1
0 X 0 X 0 2X X+2 2 X+2 2 2 X+2 X 2 X X+2 3X+2 2X+2 2X 3X+2
0 0 X X 2X+2 3X+2 X+2 2X+2 2X 0 X 0 X 3X+2 2 X 2 0 2 2
0 0 0 2X 0 0 0 2X 2X 2X 0 0 2X 0 0 2X 0 2X 2X 0
0 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 0 2X 0 2X 0
generates a code of length 20 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+125x^16+124x^17+480x^18+648x^19+1356x^20+640x^21+480x^22+120x^23+100x^24+4x^25+16x^26+2x^32
The gray image is a code over GF(2) with n=160, k=12 and d=64.
This code was found by Heurico 1.16 in 0.063 seconds.