The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+82x^60+120x^61+204x^62+282x^63+296x^64+338x^65+428x^66+412x^67+366x^68+392x^69+456x^70+478x^71+449x^72+552x^73+478x^74+472x^75+432x^76+384x^77+360x^78+278x^79+205x^80+202x^81+194x^82+108x^83+72x^84+48x^85+47x^86+18x^87+17x^88+12x^89+4x^90+4x^94+1x^102

The gray image is a code over GF(2) with n=144, k=13 and d=60.
This code was found by Heurico 1.16 in 11 seconds.