The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 X 1 1 X X 1
0 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X
0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 0 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 2X 0 0 2X
0 0 0 2X 0 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 0 0 2X 0
0 0 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 2X 0 0 2X 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 0 0 0 0
0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 0 2X 0 2X 0 0 0 2X 2X 2X 2X 0
0 0 0 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 0 0 0
0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 2X 0 0 2X 2X 0 2X 0 0 0
generates a code of length 59 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 52.
Homogenous weight enumerator: w(x)=1x^0+63x^52+100x^56+352x^58+1024x^59+405x^60+32x^62+27x^64+25x^68+16x^72+2x^76+1x^108
The gray image is a code over GF(2) with n=472, k=11 and d=208.
This code was found by Heurico 1.16 in 0.234 seconds.