Prime p₀= 1267997531556793571 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: Megacruncher
db: batch=77, k=10, 2 28 2 88 2

SPT(18)	1267996177749148121	0 18 32 42 120 162 182 200 222 266 288 306 326 368 446 456 470 488	-1353807645450
TPT(14)	1267996957688320889	0 2 42 44 78 80 108 110 150 152 210 212 252 254	-573868472682
STPT(10)	1267997077118857451	0 2 36 38 78 80 120 122 156 158	-454437936120
SPT(16)	1267997145378611911	0 40 42 102 120 156 160 186 226 252 256 292 310 370 372 412	-386178181660
SPT(16)	1267997390079246557	0 14 30 86 122 134 156 216 290 350 372 384 420 476 492 506	-141477547014
SPT(16)	1267997464280239547	0 12 30 44 92 126 134 140 156 162 170 204 252 266 284 296	-67276554024
STPT(10)	1267997592028307027	0 2 24 26 42 44 60 62 84 86	60471513456
SPT(16)	1267997618719718023	0 88 90 100 120 126 180 196 258 274 328 334 354 364 366 454	87162924452
SPT(16)	1267997793569495917	0 24 42 64 96 106 120 196 300 376 390 400 432 454 472 496	262012702346
STPT(10)	1267997806782623249	0 2 48 50 90 92 132 134 180 182	275225829678
STPT(10)	1267998045055610327	0 2 30 32 42 44 54 56 84 86	513498816756