Prime p₀= 2397050314023744521 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2397047911184580737	0 2 30 32 72 74 114 116 144 146	-2402839163784
SPT(16)	2397048532011122903	0 26 50 56 90 134 140 156 158 174 180 224 258 264 288 314	-1782012621618
SPT(16)	2397049060080054619	0 24 42 84 144 210 220 222 262 264 274 340 400 442 460 484	-1253943689902
SPT(16)	2397049152483721271	0 6 30 72 96 110 116 176 222 282 288 302 326 368 392 398	-1161540023250
SPT(16)	2397049249487727577	0 22 42 46 54 136 156 166 210 220 240 322 330 334 354 376	-1064536016944
SPT(16)	2397049740950450251	0 12 52 72 78 96 138 142 246 250 292 310 316 336 376 388	-573073294270
TPT(14)	2397050587443614279	0 2 48 50 72 74 78 80 102 104 258 260 270 272	273419869758
STPT(10)	2397051049229928101	0 2 36 38 108 110 180 182 216 218	735206183580
SPT(18)	2397051051433417289	0 54 60 72 98 120 122 164 180 182 198 240 242 264 290 302 308 362	737409672768
SPT(16)	2397051800861561131	0 10 28 58 66 72 78 138 280 340 346 352 360 390 408 418	1486837816610
STPT(10)	2397052041230686919	0 2 48 50 60 62 72 74 120 122	1727206942398