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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+30x^78+64x^79+39x^80+8x^82+40x^83+12x^84+22x^86+16x^87+11x^88+4x^90+8x^91+1x^152

The gray image is a code over GF(2) with n=164, k=8 and d=78.
This code was found by Heurico 1.16 in 2.48 seconds.