The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6 12  1  1  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  0  1  6  1  1  8  1  1  1  1 14  1  1 12  1  1 10  1  4  1  2  1  1  1 12  1  1 10  1  1  1  4  1  1  4  8 12  2  1  1  4  0
 0  1  3  6  5  1 12 15  1 10  1  9  3  0  1  6  5  1  1 12 15 10  9  1  0  3  1  6  5  1 12 15  1  9  1 10  6  1  3  1  0  5  1  8 11 14 13  1 12 15  1 10  9  1  4  1 15  1 10  9  2  1  7 12  1  1  4  7  1  2  5 12  2  2  1  3  7  2  2
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  8
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  0  0  8  8  0  8  0  8  8  8  8  0  0  0  0  8  8  8  8  0  8
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8  8  0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  0  0  8  8  8  8  8  0  8  8  0
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  0  8  8  0  0  0  8  8  8  8  0  8  0  0  8

generates a code of length 79 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+276x^74+930x^76+980x^78+745x^80+818x^82+236x^84+100x^86+4x^88+1x^90+2x^96+2x^100+1x^106

The gray image is a code over GF(2) with n=632, k=12 and d=296.
This code was found by Heurico 1.16 in 1.04 seconds.