The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+149x^74+242x^75+584x^76+392x^77+654x^78+338x^79+491x^80+332x^81+448x^82+182x^83+180x^84+40x^85+22x^86+6x^87+21x^88+5x^90+2x^96+4x^97+2x^98+1x^104

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 0.599 seconds.