Prime p₀= 2971778643241632797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2971776671074717871	0 2 30 32 78 80 126 128 156 158	-1972166914926
STPT(10)	2971777252553465831	0 2 138 140 168 170 198 200 336 338	-1390688166966
SPT(16)	2971777326701481371	0 66 98 138 140 156 206 230 366 390 440 456 458 498 530 596	-1316540151426
STPT(10)	2971777765191225041	0 2 6 8 18 20 30 32 36 38	-878050407756
STPT(10)	2971777935855718019	0 2 30 32 60 62 90 92 120 122	-707385914778
SPT(16)	2971778454178191367	0 30 84 90 100 106 114 166 240 292 300 306 316 322 376 406	-189063441430
STPT(10)	2971778735326537139	0 2 12 14 90 92 168 170 180 182	92084904342
SPT(16)	2971778919378886567	0 12 42 166 172 192 216 222 250 256 280 300 306 430 460 472	276137253770
SPT(16)	2971779041047920143	0 14 18 66 68 78 98 134 150 186 206 216 218 266 270 284	397806287346
SPT(16)	2971779158663201599	0 40 60 94 154 174 180 202 270 292 298 318 378 412 432 472	515421568802
TPT(14)	2971779233155780811	0 2 108 110 150 152 156 158 210 212 240 242 318 320	589914148014