The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+171x^64+286x^66+270x^68+296x^70+245x^72+202x^74+166x^76+132x^78+92x^80+86x^82+56x^84+20x^86+19x^88+2x^90+4x^92

The gray image is a code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.16 in 1 seconds.