The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X X X X X X
0 2X 0 0 0 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 0
0 0 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 2X 0
0 0 0 2X 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0
0 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 2X 0 2X 0
generates a code of length 29 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+6x^26+24x^28+192x^29+24x^30+7x^32+2x^42
The gray image is a code over GF(2) with n=232, k=8 and d=104.
This code was found by Heurico 1.16 in -3.24e-008 seconds.