The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^64+56x^65+71x^66+96x^67+86x^68+72x^69+82x^70+68x^71+57x^72+54x^73+53x^74+44x^75+36x^76+44x^77+22x^78+28x^79+34x^80+16x^81+11x^82+20x^83+10x^84+12x^85+16x^86+1x^88+2x^89+1x^90+4x^92

The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 0.227 seconds.