Prime p₀= 2956818765132863747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2956816220588140241	0 2 156 158 168 170 198 200 210 212 366 368	-2544544723506
STPT(10)	2956816854265487021	0 2 6 8 48 50 90 92 96 98	-1910867376726
SPT(16)	2956817071806519133	0 4 16 34 36 46 78 94 210 226 258 268 270 288 300 304	-1693326344614
TPT(14)	2956817439547461869	0 2 30 32 78 80 168 170 210 212 222 224 240 242	-1325585401878
STPT(10)	2956817784517535171	0 2 30 32 78 80 126 128 156 158	-980615328576
STPT(10)	2956818150935034887	0 2 12 14 72 74 132 134 144 146	-614197828860
SPT(16)	2956819057539745763	0 24 30 44 140 198 204 228 266 290 296 354 450 464 470 494	292406882016
SPT(16)	2956819349428252751	0 66 80 102 128 132 150 186 212 248 266 270 296 318 332 398	584295389004
SPT(16)	2956819350830982037	0 4 30 42 112 130 136 142 144 150 156 174 244 256 282 286	585698118290
SPT(16)	2956819659331424063	0 20 24 60 80 84 140 168 206 234 290 294 314 350 354 374	894198560316
STPT(10)	2956819893509210777	0 2 42 44 72 74 102 104 144 146	1128376347030