The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+43x^60+62x^61+116x^62+150x^63+152x^64+144x^65+135x^66+152x^67+110x^68+134x^69+105x^70+98x^71+110x^72+72x^73+77x^74+64x^75+61x^76+84x^77+47x^78+36x^79+21x^80+12x^81+28x^82+12x^83+14x^84+4x^85+4x^86

The gray image is a code over GF(2) with n=138, k=11 and d=60.
This code was found by Heurico 1.16 in 0.618 seconds.