Prime p₀= 2833314005353221359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: sabres1616
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2833311729368277749	0 8 14 20 44 62 120 128 144 152 210 228 252 258 264 272	-2275984943610
STPT(10)	2833312293444658757	0 2 30 32 42 44 54 56 84 86	-1711908562602
SPT(16)	2833312495225160401	0 22 82 96 112 118 120 126 172 178 180 186 202 216 276 298	-1510128060958
SPT(16)	2833312726745704729	0 10 18 52 58 84 102 108 184 190 208 234 240 274 282 292	-1278607516630
SPT(16)	2833313550749849179	0 4 24 34 60 64 78 82 90 94 108 112 138 148 168 172	-454603372180
TPT(14)	2833313825185473317	0 2 72 74 132 134 162 164 270 272 282 284 330 332	-180167748042
STPT(10)	2833314125220433037	0 2 30 32 42 44 54 56 84 86	119867211678
SPT(16)	2833314472605216311	0 18 26 38 48 60 116 122 126 132 188 200 210 222 230 248	467251994952
SPT(16)	2833314719485078187	0 42 50 62 66 72 90 102 104 116 134 140 144 156 164 206	714131856828
TPT(14)	2833314757141362731	0 2 18 20 156 158 240 242 276 278 318 320 360 362	751788141372
STPT(10)	2833314867675464069	0 2 18 20 60 62 102 104 120 122	862322242710