Prime p₀= 2969030806843188557 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: Landjunge
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2969029870155603829	0 54 60 78 112 120 130 138 214 222 232 240 274 292 298 352	-936687584728
SPT(16)	2969030099674034503	0 28 30 34 130 196 228 246 268 286 318 384 480 484 486 514	-707169154054
STPT(10)	2969030108698599107	0 2 30 32 42 44 54 56 84 86	-698144589450
STPT(10)	2969030175302582117	0 2 24 26 42 44 60 62 84 86	-631540606440
SPT(16)	2969030297134525249	0 30 64 84 108 132 160 168 184 192 220 244 268 288 322 352	-509708663308
SPT(16)	2969030672240532083	0 8 30 38 78 90 114 120 134 140 164 176 216 224 246 254	-134602656474
SPT(13)	2969030899554781123	0 30 66 84 90 144 150 156 210 216 234 270 300	92711592566
STPT(10)	2969031168056107151	0 2 6 8 48 50 90 92 96 98	361212918594
TPT(14)	2969031857600207129	0 2 78 80 90 92 168 170 318 320 330 332 342 344	1050757018572
STPT(10)	2969031923717650247	0 2 30 32 72 74 114 116 144 146	1116874461690
SPT(16)	2969032177407035633	0 36 78 90 180 246 258 260 306 308 320 386 476 488 530 566	1370563847076