Prime p₀= 1173691623473932007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1173690802964975797	0 12 34 64 66 94 102 124 132 154 162 190 192 222 244 256	-820508956210
SPT(16)	1173690921218492513	0 96 110 126 144 204 224 246 284 306 326 386 404 420 434 530	-702255439494
SPT(16)	1173691144246794161	0 6 18 20 48 62 92 98 120 126 156 170 198 200 212 218	-479227137846
SPT(16)	1173691332681475057	0 6 24 36 42 60 66 76 120 130 136 154 160 172 190 196	-290792456950
SPT(16)	1173691450214365559	0 8 24 44 72 122 198 200 372 374 450 500 528 548 564 572	-173259566448
SPT(16)	1173691558559400427	0 4 10 54 94 120 204 240 304 340 424 450 490 534 540 544	-64914531580
STPT(10)	1173692086144546019	0 2 18 20 30 32 42 44 60 62	462670614012
SPT(16)	1173692593943305651	0 28 42 52 102 138 150 178 222 250 262 298 348 358 372 400	970469373644
STPT(10)	1173692990908461767	0 2 42 44 72 74 102 104 144 146	1367434529760
SPT(16)	1173693197035447747	0 16 46 52 66 114 124 184 222 282 292 340 354 360 390 406	1573561515740
SPT(13)	1173693469815256289	0 12 30 60 72 102 120 138 168 180 210 228 240	1846341324282