Prime p₀= 2874794247733967771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2874793482143443807	0 16 36 42 64 66 94 102 154 162 190 192 214 220 240 256	-765590523964
SPT(16)	2874793597571493811	0 6 12 16 28 30 76 82 126 132 178 180 192 196 202 208	-650162473960
SPT(16)	2874793820233284827	0 26 50 86 104 122 140 180 206 246 264 282 300 336 360 386	-427500682944
SPT(16)	2874793823393801369	0 8 30 54 74 104 114 120 152 158 168 198 218 242 264 272	-424340166402
SPT(16)	2874793834624182553	0 4 78 84 108 118 130 144 154 168 180 190 214 220 294 298	-413109785218
STPT(10)	2874793893332049107	0 2 42 44 72 74 102 104 144 146	-354401918664
SPT(16)	2874794381481427421	0 8 32 42 66 102 120 150 158 188 206 242 266 276 300 308	133747459650
STPT(10)	2874795501416232239	0 2 18 20 30 32 42 44 60 62	1253682264468
STPT(10)	2874795546951108899	0 2 18 20 30 32 42 44 60 62	1299217141128
STPT(10)	2874795619886595101	0 2 156 158 168 170 180 182 336 338	1372152627330
SPT(16)	2874796034797380059	0 32 42 62 114 132 134 164 168 198 200 218 270 290 300 332	1787063412288