Prime p₀= 2627234307667315271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: herby44
db: batch=82, k=10, 2 28 2 46 2

TPT(14)	2627232469273968497	0 2 12 14 30 32 42 44 60 62 102 104 144 146	-1838393346774
SPT(16)	2627232775710215293	0 34 64 108 130 136 148 168 196 216 228 234 256 300 330 364	-1531957099978
SPT(16)	2627232786006491449	0 22 40 52 72 90 94 100 174 180 184 202 222 234 252 274	-1521660823822
SPT(16)	2627232853273038667	0 54 126 132 142 160 172 210 226 264 276 294 304 310 382 436	-1454394276604
STPT(10)	2627233318391890259	0 2 42 44 60 62 78 80 120 122	-989275425012
STPT(10)	2627234305036328177	0 2 54 56 222 224 390 392 444 446	-2630987094
STPT(10)	2627234360478930887	0 2 24 26 42 44 60 62 84 86	52811615616
STPT(10)	2627234859855080351	0 2 30 32 60 62 90 92 120 122	552187765080
SPT(16)	2627235761502553447	0 22 24 60 96 102 112 136 180 204 214 220 256 292 294 316	1453835238176
STPT(10)	2627235777848503487	0 2 12 14 42 44 72 74 84 86	1470181188216
SPT(16)	2627235834298567211	0 32 48 98 132 158 168 200 258 290 300 326 360 410 426 458	1526631251940