35 to 40k (if your spouse is choosing tax class with a higher rate) after taxes or around so, depends on many factors - German tax code is complicated.

Is it enough to live on

Generally - barely above "paycheck to paycheck" level, but highly depends on location. In Munich you'll be fucked with this type of salary.

or buy a home

lmao no. Houses are mainly for older and retired people or rich, vast majority of active workforce are apartment renters, more fortunate ones were able to save/get help from relatives for mortgage. Total home ownership rate in Germany is 46.7%, lowest of all OECD countries - and that's including older people who got their homes during better economic times. Neat trick about Germany is that you have to have both stable job at big company and a lot of cash on your hands to cop a mortgage, since 20% downpayment + taxes/fees and other bullshit that run at around 10% of the total price make good barrier.

buy a home and support a family

Not really, adults in the household have to work, 60k is not 'breadwinner' type of salary at all. In general, tech workers aren't special in Germany, if not for US companies branches they'd be earning the same as everyone else and in many industries (like transportation), where pressure from international market is not present that much, they still do.

It was good while it lasted, but Germany is heading into some pretty interesting times in general, younger population is absolutely fucked.