Primality of homogeneous ideal

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Let $R$ be the polynomial ring over the finite field $\mathbb{F}_p$ with $n$ variables.

Let $I$ be an ideal of $R$ generated by homogeneous polynomials whose coefficients are 1 or -1.

Are there any criterions showing the primality of I ?

I have several examples which I tested using the function is_prime in SAGE but it seems that the software do not produce any answer when the number of variables and the number of generators of I is "big" (more or less 25...).