The generator matrix

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

generates a code of length 94 over Z4 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+50x^89+94x^90+54x^91+35x^92+48x^93+52x^94+52x^95+16x^96+14x^97+23x^98+12x^99+7x^100+10x^101+11x^102+6x^103+3x^104+4x^105+3x^106+2x^108+3x^110+2x^111+2x^114+2x^117+2x^118+2x^122+2x^123

The gray image is a code over GF(2) with n=188, k=9 and d=89.
This code was found by Heurico 1.13 in 3.78 seconds.