The generator matrix

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

generates a code of length 98 over Z4 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+31x^84+58x^85+155x^86+208x^87+251x^88+306x^89+314x^90+370x^91+359x^92+342x^93+382x^94+404x^95+430x^96+464x^97+389x^98+328x^99+368x^100+426x^101+390x^102+324x^103+304x^104+292x^105+255x^106+222x^107+204x^108+176x^109+107x^110+92x^111+78x^112+42x^113+45x^114+32x^115+16x^116+6x^117+10x^118+4x^119+4x^120+2x^124+1x^130

The gray image is a code over GF(2) with n=196, k=13 and d=84.
This code was found by Heurico 1.10 in 6 seconds.