The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+266x^20+1580x^21+5351x^22+13948x^23+28631x^24+51170x^25+59726x^26+51516x^27+29356x^28+13928x^29+4789x^30+1420x^31+366x^32+58x^33+20x^34+12x^35+4x^36+2x^38

The gray image is a code over GF(2) with n=208, k=18 and d=80.
This code was found by Heurico 1.16 in 161 seconds.