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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+36x^74+64x^75+12x^76+8x^78+4x^82+2x^88+1x^96

The gray image is a code over GF(2) with n=600, k=7 and d=296.
This code was found by Heurico 1.16 in 0.25 seconds.