The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  0  2  0  2  0  1  2  1  1  1  2  0  2  2  0  2  0  1  2  1  1  1  2  0  2  0  2  2  0  1  1  1
 0  2  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  0  2  2  0  0  2
 0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  2  2  0  2  2  0  0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  2

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

Homogenous weight enumerator: w(x)=1x^0+8x^81+3x^82+3x^84+1x^86

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 0.0758 seconds.