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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+3x^80+8x^81+4x^82

The gray image is a code over GF(2) with n=152, k=4 and d=80.
This code was found by Heurico 1.16 in 0.0722 seconds.