Prime p₀= 1581360452438450909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Theadalus
db: batch=78, k=10, 2 28 2 88 2

SPT(16)	1581359143311235247	0 36 50 164 180 204 212 222 224 234 242 266 282 396 410 446	-1309127215662
STPT(10)	1581359326050099119	0 2 18 20 30 32 42 44 60 62	-1126388351790
SPT(16)	1581359434180281361	0 40 78 100 106 112 126 162 166 202 216 222 228 250 288 328	-1018258169548
SPT(16)	1581359686783608359	0 8 14 42 60 108 140 144 158 162 194 242 260 288 294 302	-765654842550
TPT(14)	1581359744069916539	0 2 108 110 282 284 288 290 372 374 390 392 408 410	-708368534370
TPT(14)	1581359986883263121	0 2 36 38 66 68 78 80 96 98 108 110 120 122	-465555187788
SPT(16)	1581360595572601267	0 30 40 46 76 84 90 114 172 196 202 210 240 246 256 286	143134150358
SPT(16)	1581360708726132553	0 18 58 76 108 126 148 150 154 156 178 196 228 246 286 304	256287681644
SPT(16)	1581360762688145657	0 14 26 30 66 80 84 144 176 236 240 254 290 294 306 320	310249694748
STPT(10)	1581360919351730747	0 2 24 26 42 44 60 62 84 86	466913279838
STPT(10)	1581361427780087711	0 2 6 8 18 20 30 32 36 38	975341636802