Prime p₀= 2454957671997343127 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2454956677544635447	0 16 40 60 66 124 150 172 234 256 282 340 346 366 390 406	-994452707680
STPT(10)	2454956780451566087	0 2 54 56 72 74 90 92 144 146	-891545777040
SPT(18)	2454956927348478191	0 30 116 158 192 212 242 246 282 386 422 426 456 476 510 552 638 668	-744648864936
SPT(16)	2454957137774696593	0 24 48 54 126 150 156 166 168 178 184 208 280 286 310 334	-534222646534
SPT(16)	2454957461272301093	0 14 38 80 84 86 120 128 216 224 258 260 264 306 330 344	-210725042034
SPT(16)	2454957589863290783	0 8 50 68 110 150 228 258 278 308 386 426 468 486 528 536	-82134052344
SPT(16)	2454958784546310109	0 4 12 18 22 30 42 90 322 370 382 390 394 400 408 412	1112548966982
SPT(16)	2454958804413373339	0 28 48 58 78 82 90 120 160 190 198 202 222 232 252 280	1132416030212
TPT(14)	2454959151816008819	0 2 48 50 60 62 90 92 102 104 132 134 198 200	1479818665692
STPT(10)	2454959272106561147	0 2 30 32 72 74 114 116 144 146	1600109218020
SPT(16)	2454959489423116441	0 22 42 82 90 106 126 156 292 322 342 358 366 406 426 448	1817425773314