Prime p₀= 2807590161239315279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 40 2

STPT(10)	2807588648128717877	0 2 30 32 72 74 114 116 144 146	-1513110597402
STPT(10)	2807588953649825099	0 2 18 20 30 32 42 44 60 62	-1207589490180
SPT(16)	2807589257614920967	0 6 12 40 60 82 102 112 144 154 174 196 216 244 250 256	-903624394312
SPT(16)	2807589587130764867	0 26 90 114 134 200 254 272 294 312 366 432 452 476 540 566	-574108550412
SPT(16)	2807589688403057449	0 40 52 72 220 250 264 282 370 388 402 432 580 600 612 652	-472836257830
STPT(10)	2807589993954019289	0 2 30 32 120 122 210 212 240 242	-167285295990
STPT(10)	2807590273322754131	0 2 36 38 78 80 120 122 156 158	112083438852
STPT(10)	2807590408330008617	0 2 30 32 42 44 54 56 84 86	247090693338
STPT(12)	2807590435272282659	0 2 30 32 72 74 108 110 150 152 180 182	274032967380
SPT(16)	2807590560751366763	0 38 48 80 90 146 158 176 198 216 228 284 294 326 336 374	399512051484
SPT(16)	2807590648477965887	0 12 26 32 36 60 66 80 96 110 116 140 144 150 164 176	487238650608