The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+81x^20+720x^21+2724x^22+6964x^23+15405x^24+23772x^25+31290x^26+24266x^27+15821x^28+6810x^29+2282x^30+672x^31+226x^32+24x^33+6x^34+2x^35+2x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=208, k=17 and d=80.
This code was found by Heurico 1.16 in 41.3 seconds.