The generator matrix

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

generates a code of length 98 over Z4 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+76x^89+120x^90+136x^91+143x^92+134x^93+122x^94+140x^95+149x^96+120x^97+95x^98+82x^99+106x^100+70x^101+77x^102+68x^103+54x^104+52x^105+42x^106+40x^107+35x^108+32x^109+34x^110+32x^111+18x^112+14x^113+13x^114+14x^115+4x^116+12x^117+7x^118+2x^120+2x^121+2x^122

The gray image is a code over GF(2) with n=196, k=11 and d=89.
This code was found by Heurico 1.10 in 0.437 seconds.