The generator matrix

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

generates a code of length 91 over Z4 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+24x^89+27x^90+24x^91+26x^92+12x^93+1x^94+5x^96+4x^97+3x^106+1x^110

The gray image is a code over GF(2) with n=182, k=7 and d=89.
This code was found by Heurico 1.16 in 0.175 seconds.