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

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

Homogenous weight enumerator: w(x)=1x^0+28x^73+82x^74+6x^76+4x^78+4x^81+2x^82+1x^104

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 0.255 seconds.