The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^60+68x^61+108x^62+174x^63+143x^64+132x^65+147x^66+150x^67+121x^68+96x^69+113x^70+104x^71+99x^72+96x^73+71x^74+60x^75+73x^76+60x^77+53x^78+40x^79+37x^80+28x^81+14x^82+12x^83+6x^86+2x^87+2x^91

The gray image is a code over GF(2) with n=138, k=11 and d=60.
This code was found by Heurico 1.10 in 0.219 seconds.