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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+183x^64+448x^68+8x^70+596x^72+168x^74+1027x^76+848x^78+1640x^80+848x^82+1056x^84+168x^86+596x^88+8x^90+380x^92+176x^96+32x^100+8x^104+1x^140

The gray image is a code over GF(2) with n=160, k=13 and d=64.
This code was found by Heurico 1.16 in 41.2 seconds.