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

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

Homogenous weight enumerator: w(x)=1x^0+3x^74+54x^75+3x^76+1x^78+2x^79

The gray image is a code over GF(2) with n=592, k=6 and d=296.
This code was found by Heurico 1.16 in 0.197 seconds.