The generator matrix

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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+72x^89+103x^90+78x^91+98x^92+82x^93+68x^94+70x^95+69x^96+58x^97+49x^98+56x^99+36x^100+30x^101+18x^102+18x^103+23x^104+8x^105+8x^106+4x^107+12x^108+14x^109+4x^110+8x^111+9x^112+2x^113+6x^114+6x^115+6x^116+4x^117+2x^124+2x^125

The gray image is a code over GF(2) with n=192, k=10 and d=89.
This code was found by Heurico 1.16 in 23.4 seconds.