Prime p₀= 2957006289949481249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2957004695605123529	0 14 18 32 134 144 212 242 300 330 398 408 510 524 528 542	-1594344357720
STPT(10)	2957004707698622807	0 2 30 32 72 74 114 116 144 146	-1582250858442
STPT(10)	2957004825088059269	0 2 18 20 30 32 42 44 60 62	-1464861421980
TPT(14)	2957004904970936621	0 2 90 92 96 98 138 140 168 170 198 200 270 272	-1384978544628
STPT(10)	2957006063037166109	0 2 12 14 30 32 48 50 60 62	-226912315140
STPT(10)	2957006268434369537	0 2 12 14 42 44 72 74 84 86	-21515111712
STPT(10)	2957006314271738549	0 2 18 20 30 32 42 44 60 62	24322257300
SPT(16)	2957006775381754189	0 22 42 48 78 94 100 112 120 132 138 154 184 190 210 232	485432272940
SPT(16)	2957006898582050603	0 18 56 108 120 144 150 188 246 284 290 314 326 378 416 434	608632569354
SPT(16)	2957007016864852883	0 44 54 60 74 140 144 150 170 176 180 246 260 266 276 320	726915371634
STPT(10)	2957007075933888071	0 2 6 8 48 50 90 92 96 98	785984406822