The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 2 1 X 1 X 1 1
0 2X 0 0 0 0 0 0 0 0 2X 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 0
0 0 2X 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 2X
0 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 2X 0
0 0 0 0 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0
0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X
0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 0 0 2X
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+58x^20+32x^22+146x^24+256x^25+1088x^26+256x^27+120x^28+32x^30+43x^32+14x^36+2x^40
The gray image is a code over GF(2) with n=208, k=11 and d=80.
This code was found by Heurico 1.16 in 0.172 seconds.