The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+241x^84+600x^86+868x^88+1214x^90+1438x^92+1506x^94+1623x^96+1556x^98+1688x^100+1514x^102+1377x^104+1010x^106+732x^108+512x^110+294x^112+130x^114+53x^116+20x^118+4x^120+2x^122+1x^136

The gray image is a code over GF(2) with n=196, k=14 and d=84.
This code was found by Heurico 1.10 in 23.3 seconds.