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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+38x^81+122x^82+214x^83+307x^84+362x^85+446x^86+536x^87+569x^88+650x^89+667x^90+690x^91+763x^92+814x^93+823x^94+804x^95+842x^96+826x^97+799x^98+862x^99+756x^100+680x^101+701x^102+630x^103+590x^104+446x^105+366x^106+312x^107+218x^108+178x^109+146x^110+94x^111+42x^112+32x^113+25x^114+18x^115+8x^116+6x^117+1x^146

The gray image is a code over GF(2) with n=192, k=14 and d=81.
This code was found by Heurico 1.10 in 22.4 seconds.