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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+32x^69+20x^70+5x^72+4x^74+2x^76

The gray image is a code over GF(2) with n=552, k=6 and d=276.
This code was found by Heurico 1.16 in 0.15 seconds.