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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+76x^73+400x^74+382x^75+616x^76+460x^77+549x^78+362x^79+402x^80+246x^81+370x^82+114x^83+52x^84+16x^85+23x^86+6x^87+10x^88+2x^89+4x^92+2x^94+2x^100+1x^104

The gray image is a code over GF(2) with n=624, k=12 and d=292.
This code was found by Heurico 1.16 in 0.614 seconds.