Prime p₀= 2513571565639212017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2513570552771419247	0 2 12 14 42 44 72 74 84 86	-1012867792770
STPT(10)	2513570586087200567	0 2 54 56 72 74 90 92 144 146	-979552011450
SPT(16)	2513570983405784579	0 2 8 14 78 92 104 132 140 168 180 194 258 264 270 272	-582233427438
SPT(16)	2513571005074269841	0 10 16 18 60 82 150 192 226 268 336 358 400 402 408 418	-560564942176
STPT(12)	2513571155122586927	0 2 42 44 54 56 90 92 102 104 144 146	-410516625090
SPT(16)	2513571497199032159	0 8 18 44 102 120 158 164 198 204 242 260 318 344 354 362	-68440179858
STPT(10)	2513572383149557811	0 2 6 8 48 50 90 92 96 98	817510345794
STPT(10)	2513573197356799517	0 2 30 32 60 62 90 92 120 122	1631717587500
SPT(16)	2513573320937011607	0 2 14 42 44 50 86 96 110 120 156 162 164 192 204 206	1755297799590
SPT(16)	2513573677395460993	0 10 24 60 88 108 126 130 174 178 196 216 244 280 294 304	2111756248976
STPT(10)	2513573845948795241	0 2 66 68 108 110 150 152 216 218	2280309583224