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  2  1  2  1  2  2  1  1  1  1  2  2  2  2  2  2  2  2  2  2  4  4  4  1  1  1  1  1  4  1  1  1  1  4  1  4  4  4  4  4  4  4  4  4  4  1  2  1
 0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  0 12  0 12  0 12  0 12  8  4 12  8 12  4 12 12  8  4  8  4  0  8  4  0  8  4  0  8  4  4 12 12 12  0 12  0  8 12 12  0  0 12 12  8  8  8  8  0  0  4  4  4  4  8  0  4  0  8
 0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  0  8  0  0  8  8  0  8
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  0  0  8  0  0  8  8  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+70x^73+148x^74+14x^75+6x^76+6x^77+4x^78+2x^79+1x^88+4x^89

The gray image is a code over GF(2) with n=592, k=8 and d=292.
This code was found by Heurico 1.16 in 8.62 seconds.