The generator matrix

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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+93x^58+140x^59+314x^60+594x^61+780x^62+976x^63+1321x^64+1626x^65+1874x^66+2218x^67+2569x^68+2854x^69+3324x^70+3656x^71+3927x^72+4176x^73+4167x^74+4184x^75+3964x^76+3878x^77+3491x^78+3116x^79+2814x^80+2438x^81+1912x^82+1364x^83+1125x^84+850x^85+587x^86+400x^87+292x^88+188x^89+138x^90+60x^91+52x^92+32x^93+17x^94+12x^95+4x^96+4x^97+2x^99+1x^102+1x^104

The gray image is a code over GF(2) with n=148, k=16 and d=58.
This code was found by Heurico 1.10 in 552 seconds.