The generator matrix

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

generates a code of length 78 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+241x^64+270x^66+831x^68+876x^70+1616x^72+1458x^74+1967x^76+1748x^78+2064x^80+1686x^82+1556x^84+852x^86+666x^88+230x^90+202x^92+44x^94+50x^96+4x^98+17x^100+2x^104+3x^108

The gray image is a code over GF(2) with n=156, k=14 and d=64.
This code was found by Heurico 1.16 in 95 seconds.