Prime p₀= 1999493901045317021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: vaughan
db: batch=80, k=10, 2 34 2 40 2

SPT(13)	1999492822500584303	0 6 60 78 126 168 228 288 330 378 396 450 456	-1078544732718
STPT(10)	1999492908201460499	0 2 42 44 60 62 78 80 120 122	-992843856522
SPT(16)	1999493165196879119	0 20 32 84 92 132 158 188 204 234 260 300 308 360 372 392	-735848437902
STPT(10)	1999493247383015999	0 2 18 20 30 32 42 44 60 62	-653662301022
STPT(10)	1999493290382828087	0 2 12 14 42 44 72 74 84 86	-610662488934
STPT(10)	1999493577555995567	0 2 54 56 72 74 90 92 144 146	-323489321454
STPT(12)	1999494464193531059	0 2 30 32 42 44 60 62 72 74 102 104	563148214038
SPT(16)	1999494786786676771	0 28 42 60 70 72 82 118 180 216 226 228 238 256 270 298	885741359750
TPT(14)	1999495213390156211	0 2 30 32 78 80 156 158 186 188 246 248 288 290	1312344839190
STPT(10)	1999495584784053491	0 2 36 38 78 80 120 122 156 158	1683738736470
SPT(20)	1999495841317964777	0 20 60 72 74 86 186 222 230 260 306 336 344 380 480 492 494 506 546 566	1940272647756