Galois representations over function fields that are ramified at one prime

Let Fq be the finite field with q elements, F:=Fq(T) and Fˢᵉᵖ a separable closure of F. Set A to denote the polynomial ring Fq[T]. Let p be a non-zero prime ideal of A, and O be the completion of A at p. Given any integer r≥ 2, I construct a Galois representation ρ:Gal(Fˢᵉᵖ/F)→ GLᵣ(O) which is unramified at all non-zero primes l≠ p of A, and whose image is a finite index subgroup of GLᵣ(O). Moreover, if the degree of p is $1$, then ρ is also unramified at ∞.