Prime p₀= 2312143719749002961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Landjunge
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2312142536330081657	0 26 80 122 144 174 180 186 230 236 242 272 294 336 390 416	-1183418921304
SPT(16)	2312142541420899601	0 18 22 72 108 120 126 142 156 172 178 190 226 276 280 298	-1178328103360
STPT(10)	2312142583687224257	0 2 54 56 72 74 90 92 144 146	-1136061778704
SPT(16)	2312142889003553491	0 28 118 130 196 210 222 312 316 406 418 432 498 510 600 628	-830745449470
TPT(14)	2312142975486128381	0 2 18 20 36 38 78 80 198 200 210 212 240 242	-744262874580
STPT(10)	2312143654761602507	0 2 24 26 42 44 60 62 84 86	-64987400454
SPT(16)	2312143943789458567	0 10 46 52 66 96 126 130 132 136 166 196 210 216 252 262	224040455606
SPT(16)	2312144003525838773	0 20 48 78 98 146 156 170 174 188 198 246 266 296 324 344	283776835812
SPT(16)	2312144682701729423	0 18 74 104 126 144 204 230 324 350 410 428 450 480 536 554	962952726462
STPT(10)	2312144736963759767	0 2 24 26 42 44 60 62 84 86	1017214756806
TPT(14)	2312145142395114581	0 2 18 20 36 38 60 62 126 128 168 170 198 200	1422646111620