The generator matrix

1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 2 2 0 2 2 2 2 2 2 1 1 1 1 0 1 1 2 1 1 0 1 0 0 0 2 0 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 2 1 0 2 2 2 0 0 2 1 0 1 1 1 1 1 1 2 2 1 1 0 2 0 2 1 0 1 0 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 2 2 1 1 3 3 1 1 3 1 1 3 1 3 1 1 1 1 1 3 3 2 0 1 2 0 0 2 0 1 3 2 0 1 1 3 2 1 2 1 2 1 1 3 1 0 2 0 3 2 3 1 1 3 0 1 0 1 1 1 1 3 2 3 1
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 0 3 1 1 0 2 0 1 1 1 2 1 2 2 1 2 2 3 1 2 0 0 3 3 1 3 1 0 0 2 0 2 3 2 2 2 0 1 0 1 2 1 1 3 1 0 3 1 0 1 1 1 0 1 1 1 1 2 2 1 1 2 2 1 1 2 1 1 0 0 3 2 0 0 1 3
0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 2 2 1 3 2 0 0 1 1 3 1 0 1 3 1 0 1 3 2 0 2 2 3 1 0 1 2 1 2 2 0 1 1 1 0 3 3 3 1 1 2 0 0 1 3 1 3 0 0 2 2 1 3 1 1 0 1 1 3 2 2 2 0 1 3 2 3 1 3 1 2 1 3 3 1 1 3 0
0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 2 3 1 3 3 1 0 3 2 1 1 0 1 2 3 1 3 0 0 3 2 2 2 1 2 3 1 1 3 3 2 3 0 0 2 1 1 1 2 2 2 2 2 2 2 3 2 0 3 2 3 0 3 0 0 1 2 0 3 0 2 2 3 3 1 0 3 2 2 2 0 3 1 1 2 3 2 3
0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 3 1 3 2 3 0 2 1 3 3 2 1 0 0 3 0 1 0 3 3 1 2 2 2 2 2 3 2 2 1 3 2 2 1 2 1 1 0 1 3 2 0 2 0 2 1 2 2 1 2 3 1 1 2 2 2 1 1 2 1 1 3 0 1 1 3 3 2 3 0 0 3 0 1 1 0 1 0
0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 2 3 1 1 2 1 1 0 3 3 0 1 3 1 0 2 1 0 2 1 1 1 1 3 2 3 2 1 2 0 0 1 1 0 0 2 0 1 1 0 1 3 2 2 1 1 3 1 3 3 1 3 3 3 0 1 2 3 2 0 0 2 3 3 3 1 0 0 3 2 3 0 1 2 3 3 2 3
0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2

generates a code of length 98 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+96x^82+168x^83+322x^84+442x^85+592x^86+690x^87+881x^88+948x^89+1088x^90+1240x^91+1333x^92+1386x^93+1434x^94+1528x^95+1526x^96+1790x^97+1713x^98+1740x^99+1625x^100+1566x^101+1587x^102+1442x^103+1331x^104+1274x^105+1050x^106+944x^107+823x^108+622x^109+472x^110+388x^111+325x^112+146x^113+149x^114+52x^115+25x^116+16x^117+10x^118+2x^121+1x^182

The gray image is a code over GF(2) with n=196, k=15 and d=82.
This code was found by Heurico 1.10 in 187 seconds.