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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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  1  4  1  4  1  2  1  1
 0 12  0  0  0  4 12  4  0  0  0  0  4 12  4 12  0  8 12  4  8  4 12  8  8  0 12  4  0 12 12  8  8  8  0 12 12  8 12  4  4  0 12  8 12  4  8  8  0  4  8  8  4  8  0  4 12  0  4  0  4  4  8  8  4  8  8  4  0  8 12 12 12  4  8  4  0  0  0
 0  0 12  0  4  4 12  0  0  0  4 12  4 12  0  0  8 12  0 12  0  4  8  4  4  8 12  0 12  8 12  0 12  8 12  4  0  8  4  8  8 12  4  8 12  8  8 12  8  8  0  0  0  4  4 12 12  8  8  4 12  8  0  0 12  4 12  4  4 12  8  0  8 12 12  0  0  0  0
 0  0  0 12  4  0 12  4 12  0  4  0  0 12  4  0  8  4 12  8  4 12  8  0 12  0  8  0  8 12  4 12  8  0  4  8 12 12  4  0 12 12 12  4  0  8  0  8  4  8 12  0 12  4 12  0  4  0  4  8  0  0  8  8 12  8  0 12  0 12  8  4  8  4 12 12 12  4  8
 0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  0  8  0  0  0  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+112x^74+139x^76+128x^77+410x^78+512x^79+391x^80+128x^81+130x^82+63x^84+14x^86+8x^88+6x^90+5x^92+1x^148

The gray image is a code over GF(2) with n=632, k=11 and d=296.
This code was found by Heurico 1.16 in 15.8 seconds.