Prime p₀= 1554068557133195417 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: crashtech
db: batch=78, k=10, 2 10 2 28 2

STPT(10)	1554067709771779229	0 2 18 20 30 32 42 44 60 62	-847361416188
STPT(10)	1554067755324111161	0 2 36 38 78 80 120 122 156 158	-801809084256
SPT(16)	1554067790153833481	0 18 36 48 50 80 90 168 248 326 336 366 368 380 398 416	-766979361936
SPT(16)	1554067942483915561	0 28 36 126 132 136 138 150 178 190 192 196 202 292 300 328	-614649279856
SPT(16)	1554068172143244731	0 2 8 26 138 140 156 162 176 182 198 200 312 330 336 338	-384989950686
SPT(16)	1554068504255740261	0 52 88 106 150 178 196 258 400 462 480 508 552 570 606 658	-52877455156
STPT(10)	1554068626523370647	0 2 30 32 42 44 54 56 84 86	69390175230
STPT(10)	1554068750645340071	0 2 6 8 18 20 30 32 36 38	193512144654
STPT(10)	1554069068480031581	0 2 30 32 78 80 126 128 156 158	511346836164
SPT(16)	1554069315197172731	0 18 20 68 86 116 126 156 170 200 210 240 258 306 308 326	758063977314
SPT(16)	1554069629461595137	0 22 40 82 100 126 222 276 376 430 526 552 570 612 630 652	1072328399720