Prime p₀= 2515857224352490607 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: herby44
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2515855014299708101	0 10 30 60 72 76 108 130 138 160 192 196 208 238 258 268	-2210052782506
SPT(16)	2515855078277519467	0 42 76 112 126 132 142 184 192 234 244 250 264 300 334 376	-2146074971140
STPT(10)	2515855147068180917	0 2 24 26 42 44 60 62 84 86	-2077284309690
SPT(16)	2515855362780275413	0 24 76 84 94 108 120 126 238 244 256 270 280 288 340 364	-1861572215194
TPT(14)	2515855932063943349	0 2 72 74 102 104 192 194 240 242 270 272 348 350	-1292288547258
STPT(10)	2515856725219128647	0 2 30 32 72 74 114 116 144 146	-499133361960
STPT(10)	2515857654762646889	0 2 30 32 60 62 90 92 120 122	430410156282
STPT(10)	2515857808641666107	0 2 90 92 150 152 210 212 300 302	584289175500
SPT(16)	2515858183125738151	0 42 100 108 112 138 172 198 220 246 280 306 310 318 376 418	958773247544
STPT(10)	2515858787318063399	0 2 42 44 60 62 78 80 120 122	1562965572792
SPT(16)	2515858806000424579	0 22 48 52 100 114 118 120 232 234 238 252 300 304 330 352	1581647933972