The generator matrix

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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+82x^61+187x^62+312x^63+429x^64+504x^65+598x^66+580x^67+638x^68+764x^69+831x^70+856x^71+917x^72+992x^73+931x^74+996x^75+989x^76+842x^77+848x^78+850x^79+719x^80+572x^81+529x^82+466x^83+335x^84+240x^85+161x^86+94x^87+66x^88+36x^89+10x^90+6x^91+2x^92+1x^134

The gray image is a code over GF(2) with n=148, k=14 and d=61.
This code was found by Heurico 1.10 in 16.5 seconds.