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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+26x^73+71x^74+8x^75+7x^76+10x^77+4x^83+1x^86

The gray image is a code over GF(2) with n=592, k=7 and d=292.
This code was found by Heurico 1.16 in 0.4 seconds.