The generator matrix

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

generates a code of length 98 over Z4 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+36x^81+112x^82+250x^83+297x^84+416x^85+590x^86+660x^87+818x^88+944x^89+1097x^90+1168x^91+1229x^92+1430x^93+1527x^94+1616x^95+1605x^96+1718x^97+1723x^98+1692x^99+1761x^100+1580x^101+1506x^102+1458x^103+1378x^104+1206x^105+1039x^106+872x^107+750x^108+614x^109+453x^110+364x^111+294x^112+198x^113+117x^114+98x^115+47x^116+40x^117+26x^118+14x^119+8x^120+10x^121+3x^124+2x^126+1x^148

The gray image is a code over GF(2) with n=196, k=15 and d=81.
This code was found by Heurico 1.10 in 186 seconds.