Prime p₀= 2791257503027096027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

TPT(14)	2791256379676330259	0 2 12 14 42 44 78 80 108 110 180 182 288 290	-1123350765768
SPT(16)	2791256562936259153	0 10 16 108 130 136 138 180 196 238 240 246 268 360 366 376	-940090836874
TPT(14)	2791256570584396097	0 2 30 32 282 284 372 374 462 464 492 494 570 572	-932442699930
SPT(16)	2791257123193990469	0 44 68 230 260 278 308 342 350 384 414 432 462 624 648 692	-379833105558
TPT(14)	2791257184926422321	0 2 30 32 96 98 126 128 306 308 378 380 480 482	-318100673706
SPT(16)	2791257289650959809	0 18 40 42 58 78 88 120 130 162 172 192 208 210 232 250	-213376136218
STPT(10)	2791257719022797597	0 2 60 62 72 74 84 86 144 146	215995701570
STPT(10)	2791258074500625137	0 2 42 44 72 74 102 104 144 146	571473529110
SPT(16)	2791258385597750443	0 4 18 88 96 118 130 144 190 204 216 238 246 316 330 334	882570654416
SPT(16)	2791259311084116671	0 38 42 138 140 170 206 222 236 252 288 318 320 416 420 458	1808057020644
STPT(10)	2791259556235513499	0 2 12 14 90 92 168 170 180 182	2053208417472