Prime p₀= 2555237460856148567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Time_Traveler
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2555235548507543327	0 6 20 26 30 44 66 84 86 104 126 140 144 150 164 170	-1912348605240
TPT(14)	2555236682465065271	0 2 36 38 96 98 138 140 156 158 168 170 180 182	-778391083296
SPT(16)	2555237110944586009	0 12 34 60 88 90 100 172 210 282 292 294 322 348 370 382	-349911562558
SPT(16)	2555237224523896343	0 8 26 54 96 144 236 260 264 288 380 428 470 498 516 524	-236332252224
STPT(10)	2555237365231550957	0 2 60 62 72 74 84 86 144 146	-95624597610
TPT(14)	2555237453758668659	0 2 30 32 78 80 138 140 192 194 198 200 222 224	-7097479908
STPT(10)	2555237516676026069	0 2 18 20 30 32 42 44 60 62	55819877502
SPT(16)	2555237631508117499	0 74 84 110 150 158 182 192 230 240 264 272 312 338 348 422	170651968932
STPT(10)	2555237873920939937	0 2 30 32 72 74 114 116 144 146	413064791370
STPT(10)	2555237982222257159	0 2 42 44 60 62 78 80 120 122	521366108592
SPT(16)	2555238083921907569	0 72 78 138 168 210 212 252 500 540 542 584 614 674 680 752	623065759002