The generator matrix

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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+109x^60+194x^61+271x^62+412x^63+471x^64+516x^65+613x^66+704x^67+751x^68+794x^69+946x^70+906x^71+977x^72+1002x^73+966x^74+1010x^75+919x^76+920x^77+724x^78+718x^79+583x^80+506x^81+445x^82+290x^83+245x^84+148x^85+114x^86+52x^87+30x^88+16x^89+16x^90+4x^91+8x^92+1x^94+1x^96+1x^120

The gray image is a code over GF(2) with n=146, k=14 and d=60.
This code was found by Heurico 1.10 in 16.1 seconds.