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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+72x^85+147x^86+244x^87+276x^88+298x^89+397x^90+580x^91+690x^92+1100x^93+1595x^94+2206x^95+3156x^96+3698x^97+4068x^98+3750x^99+3101x^100+2282x^101+1492x^102+1020x^103+653x^104+520x^105+327x^106+282x^107+205x^108+162x^109+118x^110+72x^111+97x^112+52x^113+40x^114+36x^115+8x^116+8x^117+7x^118+2x^119+1x^120+2x^124+1x^126+1x^132+1x^140

The gray image is a code over GF(2) with n=784, k=15 and d=340.
This code was found by Heurico 1.16 in 49.1 seconds.