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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+97x^64+2x^66+295x^68+58x^70+452x^72+436x^74+1282x^76+1444x^78+8192x^79+1741x^80+954x^82+697x^84+162x^86+293x^88+16x^90+166x^92+69x^96+23x^100+3x^104+1x^116

The gray image is a code over GF(2) with n=632, k=14 and d=256.
This code was found by Heurico 1.16 in 12 seconds.