Why can't I install Node.js modules?

Question

Node.js

Good afternoon!
Please help!
Please tell me, I made a project template, uploaded it to GitHub, then I clone it there, delete the git folder, rename the directory, do git init and upload it to a new repository.
I have package.json and gulpfile.js files configured in my template along with all tasks.
The problem is that when I run npm i in this new project, I get a bunch of errors and the packages that are registered in package.json in devDependencies are not installed. Tried with sudo as well (I'm on a mac) and each package individually with --save-dev doesn't help either. Although the other project from which this template was made works fine and all packages are installed perfectly and the gulp command works fine.
Please help solve the problem.
Here is what is output in the console:
Code from the console
And this is a log file created
Log file