Prime p₀= 2431815511598181851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2431813710065167331	0 2 120 122 138 140 156 158 198 200 276 278 288 290	-1801533014520
STPT(12)	2431813842670865831	0 2 36 38 48 50 78 80 90 92 126 128	-1668927316020
SPT(16)	2431813985862275431	0 22 28 40 46 70 76 112 216 252 258 282 288 300 306 328	-1525735906420
SPT(16)	2431814295016181707	0 4 30 52 66 120 172 210 256 294 346 400 414 436 462 466	-1216582000144
SPT(13)	2431814980885635437	0 30 36 54 60 96 120 144 180 186 204 210 240	-530712546414
SPT(16)	2431815448922927443	0 10 28 34 70 126 138 178 246 286 298 354 390 396 414 424	-62675254408
STPT(10)	2431815765585594569	0 2 18 20 30 32 42 44 60 62	253987412718
SPT(16)	2431815788563677727	0 46 52 82 96 150 190 222 280 312 352 406 420 450 456 502	276965495876
STPT(10)	2431815833598283961	0 2 6 8 48 50 90 92 96 98	322000102110
SPT(16)	2431815987999331873	0 46 58 64 70 120 130 148 156 174 184 234 240 246 258 304	476401150022
STPT(10)	2431816097981324141	0 2 6 8 48 50 90 92 96 98	586383142290