Prime p₀= 1137851279768087387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1137850044336816047	0 2 12 14 42 44 72 74 84 86	-1235431271340
SPT(16)	1137850282727813371	0 16 48 70 90 100 138 150 166 178 216 226 246 268 300 316	-997040274016
STPT(10)	1137850305356970767	0 2 42 44 72 74 102 104 144 146	-974411116620
STPT(10)	1137850414527073937	0 2 30 32 42 44 54 56 84 86	-865241013450
STPT(10)	1137850726408327157	0 2 30 32 72 74 114 116 144 146	-553359760230
SPT(16)	1137850795880654729	0 48 108 110 150 230 234 264 308 338 342 422 462 464 524 572	-483887432658
TPT(14)	1137851945767105991	0 2 30 32 48 50 120 122 186 188 210 212 300 302	665999018604
SPT(16)	1137852286328355349	0 34 48 114 168 190 192 220 222 250 252 274 328 394 408 442	1006560267962
STPT(10)	1137852299017207679	0 2 42 44 90 92 138 140 180 182	1019249120292
SPT(16)	1137852307685159149	0 10 12 42 54 100 102 130 234 262 264 310 322 352 354 364	1027917071762
SPT(16)	1137852327850611349	0 40 100 114 132 144 174 184 198 208 238 250 268 282 342 382	1048082523962