The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  6  1  1  0  1 12  1  1  1 10  1  1  0  1  6  1  1  1  1 10  1  1  1 12  1  1  0  1  6  1  1  1 10  1  1 12  6 12  6  4  1  1  6  1  1 12  1  1  1  1  1  1  1  0  1 14  1 10 10  1  1  6  2  1 14  1  1 12  1  1  2  0  1  1  1  1  1 14 14  1  1  1  2  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  9  1 12 10 15  1  6  3  1  0  1 12  5 10  9  1 10 15  0  1  9  6  1  5  1 12  3  0  1 12  6  1  1  1  1  1 10  3  1  6  0  1 14  8  5 15  6 15 12  1  0  1  0  1  1  6 12  1 10  4  1 13 10  1 15  4 12  1 15 15  9  5  5  1  1  5 14  3 12  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0  0  0  0  0  0  0  8  0  8  0  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  8  8  0  0  8  0  8  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  8  0  8  0  0  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  0  0  0  8  8  0  8  0  0  0  0  8  8  0  0  8  0  0  8  0  0  8  0  0  8  0  0  8  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  8  8  8  0  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0  8  8  0  0  0  0  0  8  0  0  8  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  8  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  8  0  0  8  8  0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  8  8  0  8  8  8  8  8  8  0  8  8  8  8  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  0  0  0  0  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0  8  0  0  0  0  0  8  8  0  0  8  8  0  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^88+54x^89+124x^90+176x^91+671x^92+294x^93+1512x^94+484x^95+2784x^96+556x^97+3149x^98+498x^99+2768x^100+490x^101+1486x^102+306x^103+619x^104+132x^105+99x^106+70x^107+27x^108+8x^109+23x^110+2x^111+7x^112+2x^113+3x^114+3x^116+1x^118+3x^120+1x^122+2x^124+1x^126+1x^132+1x^134

The gray image is a code over GF(2) with n=784, k=14 and d=352.
This code was found by Heurico 1.16 in 6.57 seconds.