Prime p₀= 2796291927910578257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2796290845029045407	0 42 50 72 80 86 96 116 120 140 150 156 164 186 194 236	-1082881532850
SPT(16)	2796291126755419577	0 6 26 36 56 74 92 116 240 264 282 300 320 330 350 356	-801155158680
STPT(10)	2796291434242582481	0 2 6 8 18 20 30 32 36 38	-493667995776
SPT(16)	2796291450409693339	0 24 42 52 64 70 148 154 168 174 252 258 270 280 298 322	-477500884918
SPT(16)	2796291747978380021	0 2 12 18 102 116 122 132 206 216 222 236 320 326 336 338	-179932198236
STPT(10)	2796291781214909249	0 2 18 20 30 32 42 44 60 62	-146695669008
SPT(16)	2796292060513093297	0 22 36 42 52 72 96 112 150 166 190 210 220 226 240 262	132602515040
STPT(10)	2796292600892391647	0 2 54 56 72 74 90 92 144 146	672981813390
SPT(16)	2796292630585059211	0 42 88 90 166 198 228 250 258 280 310 342 418 420 466 508	702674480954
STPT(10)	2796292784493388247	0 2 60 62 72 74 84 86 144 146	856582809990
STPT(10)	2796292989362028617	0 2 24 26 42 44 60 62 84 86	1061451450360