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

generates a code of length 99 over Z4 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+76x^84+102x^85+238x^86+314x^87+351x^88+476x^89+531x^90+584x^91+655x^92+626x^93+708x^94+758x^95+753x^96+834x^97+830x^98+808x^99+747x^100+854x^101+817x^102+800x^103+731x^104+688x^105+649x^106+512x^107+414x^108+390x^109+318x^110+246x^111+180x^112+98x^113+100x^114+64x^115+49x^116+28x^117+31x^118+10x^119+8x^120+2x^122+2x^124+1x^140

The gray image is a code over GF(2) with n=198, k=14 and d=84.
This code was found by Heurico 1.10 in 23.3 seconds.