Prime p₀= 2471278123441038797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2471276313554983073	0 54 84 128 138 146 150 156 248 254 258 266 276 320 350 404	-1809886055724
SPT(16)	2471276752578169507	0 10 76 82 90 136 156 166 210 220 240 286 294 300 366 376	-1370862869290
STPT(10)	2471277363542766929	0 2 42 44 150 152 258 260 300 302	-759898271868
SPT(16)	2471277406075714169	0 30 38 72 84 114 120 150 182 212 218 248 260 294 302 332	-717365324628
STPT(10)	2471277608475595691	0 2 30 32 78 80 126 128 156 158	-514965443106
STPT(10)	2471277745754893079	0 2 42 44 90 92 138 140 180 182	-377686145718
STPT(10)	2471278799780091407	0 2 30 32 42 44 54 56 84 86	676339052610
SPT(16)	2471278960670050633	0 18 58 88 148 168 180 274 330 424 436 456 516 546 586 604	837229011836
TPT(14)	2471279244732552899	0 2 30 32 78 80 108 110 138 140 162 164 240 242	1121291514102
STPT(10)	2471279282026703957	0 2 12 14 72 74 132 134 144 146	1158585665160
SPT(18)	2471279424613581401	0 56 68 80 86 102 108 110 128 180 198 200 206 222 228 240 252 308	1301172542604