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  2  0  8  2  1  2 12  1  2  1  0  1  1  1  1  1  1  1  4  1  2  1  8  1  2  1  2  1  1  2  1  4  8  1 12  1  1  1  1  0  1  1  1  1  2  1  1  2  0  1  2  2  1  1 12  2  1  1  1  1  2  0  2  1
 0  2  0  6  4 14 12  2  0  6 14 12  2  8  4 10 14  4  2 10  0  6  4  8 12  6  0 10  4 14  2  2  6 14 10  2 14  6  0  2 12  2  0  2  8 10 14  2  8  2  2  2 10 14  8 14 12 14  8  8  2  2  4  2  8  6 10  8  2  6  2 14  4  4  4 10  6  0 12 10 14  6 12  2  2 10 12  0 10  6  2  0  0
 0  0 12  0  4  4  0  4  0  0  4  8 12  4  4  0  8  8  4  0  8 12 12 12  8  0 12  8  4  4  0 12  0  4  8  8  0  0  0  0  0  4  0  4  8  4  4  4  8  4  8  4  8 12  4  4  0  8 12 12  4 12  8  0  4  4 12  0  0 12  8  4  0 12  4 12  8  4  4  0  4  4 12  0  4  4  0 12 12  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0  0  8  0  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  8  8  0  8  0  8  0  8  8  8  8  8  0  8  8  8  0  8  0  8  8  8  8  0  0  8  8  8  0  8  8  8  8  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  8  8  8  0  8  0  0  0  8  0  8  8  8  0  8  8  8  0  0  8  8  0  8  0  8  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  8  8  8  0  0  8  8  0  8  8  0  8  0  8  8  0  0  0  8  8  8  8  8  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  0  8  0  8  0  0  8  0  0  8  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  8  8  0  8  0  0  0  0  8  8  0  8  8  8  0  0  0  0  8  8  0  0  8  8  8  0  8  8  0  8  8  8  8  8  8  8  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0  0  0  8  0  0  0  0  8  8  0  0  8  8  0  8  0  0  8  8  0  0  8  8  0  0  0  8  8  8  8  8  8  8  0  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  0  8  0  8  8  0  0  0  0  8  8  0  8  0

generates a code of length 93 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+36x^80+36x^81+109x^82+130x^83+324x^84+264x^85+798x^86+620x^87+1429x^88+1628x^89+2311x^90+3358x^91+3202x^92+4342x^93+3214x^94+3384x^95+2449x^96+1640x^97+1398x^98+554x^99+576x^100+224x^101+275x^102+104x^103+134x^104+56x^105+62x^106+38x^107+22x^108+2x^109+16x^110+4x^111+14x^112+6x^114+4x^116+1x^118+1x^120+1x^122+1x^130

The gray image is a code over GF(2) with n=744, k=15 and d=320.
This code was found by Heurico 1.16 in 36.6 seconds.