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

generates a code of length 99 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+169x^88+330x^90+20x^91+488x^92+128x^93+588x^94+428x^95+914x^96+1456x^97+2722x^98+2128x^99+2803x^100+1376x^101+806x^102+464x^103+509x^104+112x^105+330x^106+28x^107+228x^108+156x^110+4x^111+93x^112+58x^114+39x^116+2x^118+2x^120+1x^124+1x^156

The gray image is a code over GF(2) with n=792, k=14 and d=352.
This code was found by Heurico 1.16 in 14.5 seconds.