Prime p₀= 2362623998746336277 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2362623259922898359	0 2 78 80 210 212 342 344 420 422	-738823437918
SPT(16)	2362623359093496529	0 4 10 34 42 70 90 118 144 172 192 220 228 252 258 262	-639652839748
SPT(16)	2362623383900306909	0 2 54 68 78 92 98 110 162 174 180 194 204 218 270 272	-614846029368
STPT(10)	2362623426815862167	0 2 60 62 72 74 84 86 144 146	-571930474110
SPT(16)	2362623492827183371	0 10 16 30 48 66 76 88 90 102 112 130 148 162 168 178	-505919152906
SPT(16)	2362623551750781841	0 40 70 90 96 106 120 190 228 298 312 322 328 348 378 418	-446995554436
SPT(16)	2362624170912376801	0 28 42 82 96 108 156 166 222 232 280 292 306 346 360 388	172166040524
SPT(16)	2362624242114570337	0 16 54 66 112 114 142 150 406 414 442 444 490 502 540 556	243368234060
STPT(10)	2362624401250175897	0 2 30 32 102 104 174 176 204 206	402503839620
STPT(10)	2362624631443784159	0 2 48 50 90 92 132 134 180 182	632697447882
SPT(16)	2362624699365046421	0 2 6 12 26 56 62 110 162 210 216 246 260 266 270 272	700618710144