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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+27x^88+132x^90+86x^92+80x^93+189x^94+160x^95+596x^96+240x^97+1060x^98+320x^99+604x^100+176x^101+166x^102+32x^103+50x^104+16x^105+76x^106+30x^108+33x^110+11x^112+4x^114+4x^118+2x^120+1x^168

The gray image is a code over GF(2) with n=784, k=12 and d=352.
This code was found by Heurico 1.16 in 1.76 seconds.