Prime p₀= 2377925249127616787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2377923560222818841	0 2 30 32 78 80 126 128 156 158	-1688904797946
STPT(10)	2377923564292685597	0 2 24 26 42 44 60 62 84 86	-1684834931190
STPT(10)	2377923609000013769	0 2 30 32 60 62 90 92 120 122	-1640127603018
STPT(10)	2377923635909154197	0 2 42 44 72 74 102 104 144 146	-1613218462590
SPT(16)	2377923863196100423	0 10 40 58 114 138 154 184 204 234 250 274 330 348 378 388	-1385931516364
TPT(14)	2377924142985451367	0 2 24 26 84 86 240 242 264 266 444 446 492 494	-1106142165420
SPT(16)	2377925252236363433	0 38 66 80 84 86 134 140 234 240 288 290 294 308 336 374	3108746646
SPT(16)	2377925439400662677	0 84 86 116 180 192 224 236 240 252 284 296 360 390 392 476	190273045890
SPT(16)	2377925603479244197	0 4 36 60 100 136 184 186 190 192 240 276 316 340 372 376	354351627410
SPT(16)	2377926334430493097	0 12 16 30 66 72 82 132 160 210 220 226 262 276 280 292	1085302876310
SPT(16)	2377926362601851557	0 42 90 100 114 126 132 160 216 244 250 262 276 286 334 376	1113474234770