Prime p₀= 2709114495262795577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2709113292173044019	0 2 42 44 48 50 90 92 132 134 180 182 282 284	-1203089751558
SPT(16)	2709113773596793439	0 2 30 44 92 114 134 140 282 288 308 330 378 392 420 422	-721666002138
SPT(16)	2709113885239231919	0 60 72 120 144 150 164 180 182 198 212 218 242 290 302 362	-610023563658
SPT(16)	2709113885292994771	0 16 18 28 88 96 100 118 168 186 190 198 258 268 270 286	-609969800806
SPT(16)	2709114044551909669	0 12 28 58 70 72 94 100 162 168 190 192 204 234 250 262	-450710885908
STPT(10)	2709114351653850527	0 2 90 92 102 104 114 116 204 206	-143608945050
SPT(16)	2709114583096688587	0 30 90 120 132 162 190 240 244 294 322 352 364 394 454 484	87833893010
STPT(10)	2709114786911420087	0 2 54 56 72 74 90 92 144 146	291648624510
SPT(16)	2709114873195518111	0 102 128 162 188 210 218 230 240 252 260 282 308 342 368 470	377932722534
TPT(14)	2709114971200778849	0 2 18 20 90 92 120 122 198 200 228 230 282 284	475937983272
STPT(10)	2709115375134847487	0 2 12 14 42 44 72 74 84 86	879872051910