Prime p₀= 2050008008232637907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=80, k=10, 2 22 2 16 2

STPT(10)	2050004644765044089	0 2 48 50 90 92 132 134 180 182	-3363467593818
SPT(16)	2050004792497007063	0 26 78 110 116 158 168 170 186 188 198 240 246 278 330 356	-3215735630844
SPT(16)	2050005420493223059	0 54 70 114 168 184 210 262 270 322 348 364 418 462 478 532	-2587739414848
SPT(16)	2050005792475928123	0 48 50 56 96 140 146 156 158 168 174 218 258 264 266 314	-2215756709784
SPT(16)	2050006696245091261	0 6 88 90 96 142 186 216 292 322 366 412 418 420 502 508	-1311987546646
STPT(10)	2050007890840371377	0 2 24 26 42 44 60 62 84 86	-117392266530
SPT(16)	2050008117012018979	0 82 132 142 154 222 264 292 330 358 400 468 480 490 540 622	108779381072
STPT(10)	2050008360977564927	0 2 30 32 60 62 90 92 120 122	352744927020
SPT(16)	2050008735331449667	0 46 64 66 112 144 172 190 216 234 262 294 340 342 360 406	727098811760
STPT(10)	2050008956443828349	0 2 12 14 30 32 48 50 60 62	948211190442
SPT(16)	2050008959109547621	0 42 120 126 132 148 160 162 196 198 210 226 232 238 316 358	950876909714