Prime p₀= 2564314388906745047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2564313556906484413	0 6 16 24 108 118 120 130 174 184 186 196 280 288 298 304	-832000260634
STPT(10)	2564313686476381199	0 2 42 44 90 92 138 140 180 182	-702430363848
SPT(16)	2564313952902587407	0 12 42 70 96 132 166 190 222 246 280 316 342 370 400 412	-436004157640
STPT(10)	2564314084830136229	0 2 48 50 90 92 132 134 180 182	-304076608818
SPT(16)	2564314112465261623	0 48 60 96 106 174 190 214 330 354 370 438 448 484 496 544	-276441483424
SPT(16)	2564314354265043599	0 14 32 74 104 108 114 164 168 218 224 228 258 300 318 332	-34641701448
SPT(16)	2564314472696585621	0 38 42 50 122 126 140 188 210 258 272 276 348 356 360 398	83789840574
TPT(14)	2564314551145718297	0 2 54 56 84 86 90 92 132 134 174 176 192 194	162238973250
SPT(16)	2564315336463400939	0 28 48 100 108 118 130 154 174 198 210 220 228 280 300 328	947556655892
STPT(10)	2564315346035518259	0 2 18 20 30 32 42 44 60 62	957128773212
STPT(10)	2564315422385350817	0 2 30 32 42 44 54 56 84 86	1033478605770