The generator matrix

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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+246x^84+534x^86+676x^88+768x^90+822x^92+788x^94+795x^96+798x^98+718x^100+662x^102+486x^104+358x^106+264x^108+162x^110+82x^112+20x^114+6x^116+6x^118

The gray image is a code over GF(2) with n=192, k=13 and d=84.
This code was found by Heurico 1.10 in 6.17 seconds.