Prime p₀= 3001512325337124407 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: Coleslaw
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	3001511566737599611	0 42 78 142 150 192 198 220 258 280 286 328 336 400 436 478	-758599524796
STPT(10)	3001511736263378867	0 2 12 14 42 44 72 74 84 86	-589073745540
SPT(16)	3001511868081346723	0 24 28 34 48 60 78 88 126 136 154 166 180 186 190 214	-457255777684
STPT(10)	3001512090023089451	0 2 6 8 48 50 90 92 96 98	-235314034956
STPT(10)	3001512159635506799	0 2 18 20 60 62 102 104 120 122	-165701617608
SPT(16)	3001512217002736091	0 18 20 48 78 110 146 156 200 210 246 278 308 336 338 356	-108334388316
SPT(16)	3001512405800117639	0 24 78 80 108 140 188 204 218 234 282 314 342 344 398 422	80462993232
SPT(16)	3001512449940070897	0 4 52 90 96 102 106 124 132 150 154 160 166 204 252 256	124602946490
STPT(10)	3001513429393585451	0 2 36 38 78 80 120 122 156 158	1104056461044
STPT(10)	3001513478631656237	0 2 12 14 42 44 72 74 84 86	1153294531830
SPT(13)	3001513932354358789	0 18 30 42 60 78 120 162 180 198 210 222 240	1607017234382