Prime p₀= 1042299253421358857 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1042298345348412671	0 2 36 38 78 80 120 122 156 158	-908072946186
SPT(16)	1042298659612877399	0 24 38 80 84 90 120 122 150 152 182 188 192 234 248 272	-593808481458
STPT(10)	1042298665871046971	0 2 30 32 78 80 126 128 156 158	-587550311886
STPT(10)	1042298799991133021	0 2 36 38 138 140 240 242 276 278	-453430225836
SPT(16)	1042298976402860459	0 12 24 50 84 90 92 134 138 180 182 188 222 248 260 272	-277018498398
SPT(16)	1042299089482689517	0 72 84 90 96 112 220 222 304 306 414 430 436 442 454 526	-163938669340
SPT(16)	1042299346126557223	0 24 40 64 70 124 148 154 174 180 204 258 264 288 304 328	92705198366
SPT(16)	1042299352732525477	0 52 90 120 132 150 192 196 210 214 256 274 286 316 354 406	99311166620
STPT(12)	1042299442733876189	0 2 18 20 42 44 78 80 102 104 120 122	189312517332
SPT(16)	1042299712397583559	0 24 52 58 138 142 168 208 234 274 300 304 384 390 418 442	458976224702
STPT(10)	1042300397850931169	0 2 18 20 30 32 42 44 60 62	1144429572312