Prime p₀= 2796302277881605847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2796300012281916589	0 54 60 82 100 124 144 184 210 250 270 294 312 334 340 394	-2265599689258
TPT(14)	2796300080731698557	0 2 42 44 84 86 102 104 144 146 162 164 252 254	-2197149907290
SPT(16)	2796301134144755257	0 54 72 126 166 180 184 186 280 282 286 300 340 394 412 466	-1143736850590
STPT(10)	2796301797680940707	0 2 12 14 72 74 132 134 144 146	-480200665140
STPT(10)	2796301929308275439	0 2 18 20 30 32 42 44 60 62	-348573330408
SPT(16)	2796302001809241853	0 4 70 76 90 100 114 126 148 160 174 184 198 204 270 274	-276072363994
SPT(16)	2796302477043954457	0 42 64 90 130 132 150 172 234 256 274 276 316 342 364 406	199162348610
STPT(10)	2796302677794633377	0 2 30 32 42 44 54 56 84 86	399913027530
SPT(16)	2796302874610603331	0 42 50 68 80 122 140 152 168 180 198 240 252 270 278 320	596728997484
SPT(16)	2796303113976013483	0 4 34 36 48 58 84 114 190 220 246 256 268 270 300 304	836094407636
STPT(10)	2796303329349690359	0 2 12 14 90 92 168 170 180 182	1051468084512