Prime p₀= 2804736134305071179 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Coleslaw
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2804735503380364297	0 24 30 72 90 100 102 130 156 184 186 196 214 256 262 286	-630924706882
STPT(10)	2804735717016891797	0 2 12 14 42 44 72 74 84 86	-417288179382
STPT(10)	2804735941727566571	0 2 6 8 48 50 90 92 96 98	-192577504608
STPT(10)	2804735995029482807	0 2 42 44 72 74 102 104 144 146	-139275588372
SPT(13)	2804736004690066121	0 6 48 78 96 138 168 198 240 258 288 330 336	-129615005058
SPT(16)	2804736044564050109	0 30 38 42 60 74 90 132 140 182 198 212 230 234 242 272	-89741021070
SPT(16)	2804736371705921557	0 4 10 24 36 102 136 142 414 420 454 520 532 546 552 556	237400850378
STPT(10)	2804737370120498117	0 2 30 32 42 44 54 56 84 86	1235815426938
SPT(16)	2804737784692707209	0 8 14 38 62 80 90 140 162 212 222 240 264 288 294 302	1650387636030
SPT(16)	2804738682552562141	0 22 28 40 42 96 106 130 138 162 172 226 228 240 246 268	2548247490962
STPT(10)	2804739211372729157	0 2 90 92 102 104 114 116 204 206	3077067657978