Prime p₀= 2312325128068280417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 28 2 88 2

STPT(10)	2312324030110022189	0 2 48 50 60 62 72 74 120 122	-1097958258228
TPT(14)	2312324077377615209	0 2 30 32 60 62 102 104 192 194 240 242 252 254	-1050690665208
SPT(16)	2312324179459009591	0 36 42 78 82 106 150 166 192 208 252 276 280 316 322 358	-948609270826
STPT(10)	2312324635737176087	0 2 30 32 42 44 54 56 84 86	-492331104330
SPT(16)	2312324878209061699	0 34 54 124 130 168 174 180 202 208 214 252 258 328 348 382	-249859218718
SPT(16)	2312324934535046671	0 22 58 160 162 172 196 226 342 372 396 406 408 510 546 568	-193533233746
STPT(10)	2312325236166031451	0 2 30 32 78 80 126 128 156 158	108097751034
STPT(10)	2312325421990247759	0 2 18 20 30 32 42 44 60 62	293921967342
SPT(16)	2312325946079384731	0 18 30 40 42 90 96 118 150 172 178 226 228 238 250 268	818011104314
SPT(16)	2312326240530141919	0 4 40 42 48 130 168 174 178 184 222 304 310 312 348 352	1112461861502
SPT(13)	2312326362375753533	0 18 24 54 60 78 144 210 228 234 264 270 288	1234307473116