Prime p₀= 1033347819041851457 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: Theadalus
db: batch=76, k=10, 2 58 2 10 2

TPT(14)	1033346372790742187	0 2 72 74 84 86 90 92 114 116 204 206 240 242	-1446251109270
STPT(10)	1033346511497447837	0 2 30 32 42 44 54 56 84 86	-1307544403620
SPT(16)	1033347319597659439	0 18 22 28 48 88 114 120 142 148 174 214 234 240 244 262	-499444192018
SPT(16)	1033347363039743893	0 36 120 124 126 144 154 196 198 240 250 268 270 274 358 394	-456002107564
STPT(10)	1033347394164652277	0 2 42 44 72 74 102 104 144 146	-424877199180
STPT(10)	1033347632722206047	0 2 30 32 120 122 210 212 240 242	-186319645410
SPT(16)	1033347822105640121	0 12 20 42 86 92 98 132 176 210 216 222 266 288 296 308	3063788664
STPT(10)	1033348399108105877	0 2 24 26 42 44 60 62 84 86	580066254420
SPT(16)	1033348758530771047	0 16 46 96 100 144 184 214 222 252 292 336 340 390 420 436	939488919590
SPT(16)	1033348944254957507	0 42 50 56 92 116 134 156 170 192 210 234 270 276 284 326	1125213106050
SPT(16)	1033349056917274597	0 12 16 34 42 64 76 90 106 120 132 154 162 180 184 196	1237875423140