The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^82+306x^84+578x^86+914x^88+1162x^90+1328x^92+1506x^94+1625x^96+1578x^98+1588x^100+1506x^102+1320x^104+1072x^106+761x^108+520x^110+270x^112+162x^114+71x^116+32x^118+6x^120+2x^122+1x^124+2x^126+1x^148

The gray image is a code over GF(2) with n=196, k=14 and d=82.
This code was found by Heurico 1.10 in 22.7 seconds.