The generator matrix

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

generates a code of length 77 over Z4 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+4x^81+6x^82+4x^83+1x^84

The gray image is a code over GF(2) with n=154, k=4 and d=81.
This code was found by Heurico 1.16 in 0.0733 seconds.