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

generates a code of length 97 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+36x^82+122x^83+216x^84+304x^85+382x^86+468x^87+549x^88+566x^89+645x^90+588x^91+689x^92+814x^93+707x^94+894x^95+894x^96+820x^97+861x^98+806x^99+753x^100+756x^101+743x^102+632x^103+619x^104+600x^105+460x^106+364x^107+274x^108+220x^109+214x^110+142x^111+82x^112+62x^113+42x^114+16x^115+16x^116+18x^117+6x^118+2x^120+1x^136

The gray image is a code over GF(2) with n=194, k=14 and d=82.
This code was found by Heurico 1.10 in 22.7 seconds.