The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^76+44x^78+57x^80+28x^82+23x^84+20x^86+6x^88+4x^90+2x^92+1x^148

The gray image is a code over GF(2) with n=160, k=8 and d=76.
This code was found by Heurico 1.16 in 0.131 seconds.