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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+127x^84+398x^86+36x^87+664x^88+116x^89+908x^90+292x^91+1574x^92+1204x^93+2686x^94+2740x^95+4079x^96+3556x^97+3840x^98+2692x^99+2718x^100+1172x^101+1512x^102+344x^103+773x^104+88x^105+510x^106+40x^107+322x^108+8x^109+208x^110+86x^112+46x^114+17x^116+4x^118+4x^120+2x^124+1x^136

The gray image is a code over GF(2) with n=776, k=15 and d=336.
This code was found by Heurico 1.16 in 48.5 seconds.