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  1  1  1  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  8  4  8  4  8  4  8  4 12 12 12 12 12  4 12  4  0  0  0  0  0  8  0  8  8  0  8 12  4  8  8  4  4  8 12  4  4  4  0 12 12 12  0  0
 0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  0  0  0  0  0  0  0  8
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  8  0  8  0  8  0  8  0  8  8  0  8  0  8  0  8  8  0  0  0  0  8  0  8
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  0  0  8  8  0  0  8  8  0  0

generates a code of length 68 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+8x^65+9x^66+46x^67+406x^68+8x^69+22x^70+9x^72+1x^74+2x^99

The gray image is a code over GF(2) with n=544, k=9 and d=260.
This code was found by Heurico 1.16 in 0.327 seconds.