Prime p₀= 2312143654761602507 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=81, k=10, 2 22 2 16 2

STPT(10)	2312142473133121631	0 2 30 32 60 62 90 92 120 122	-1181628480876
SPT(16)	2312142536330081657	0 26 80 122 144 174 180 186 230 236 242 272 294 336 390 416	-1118431520850
SPT(16)	2312142541420899601	0 18 22 72 108 120 126 142 156 172 178 190 226 276 280 298	-1113340702906
STPT(10)	2312142583687224257	0 2 54 56 72 74 90 92 144 146	-1071074378250
SPT(16)	2312142889003553491	0 28 118 130 196 210 222 312 316 406 418 432 498 510 600 628	-765758049016
TPT(14)	2312142975486128381	0 2 18 20 36 38 78 80 198 200 210 212 240 242	-679275474126
STPT(10)	2312143719749002961	0 2 6 8 48 50 90 92 96 98	64987400454
SPT(16)	2312143943789458567	0 10 46 52 66 96 126 130 132 136 166 196 210 216 252 262	289027856060
SPT(16)	2312144003525838773	0 20 48 78 98 146 156 170 174 188 198 246 266 296 324 344	348764236266
SPT(16)	2312144682701729423	0 18 74 104 126 144 204 230 324 350 410 428 450 480 536 554	1027940126916
STPT(10)	2312144736963759767	0 2 24 26 42 44 60 62 84 86	1082202157260