Prime p₀= 2561602137976849967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2561599896828535657	0 12 34 64 94 112 136 142 174 180 204 222 252 282 304 316	-2241148314310
STPT(10)	2561600301227284529	0 2 18 20 60 62 102 104 120 122	-1836749565438
SPT(16)	2561600680286574191	0 12 38 56 68 102 110 128 210 228 236 270 282 300 326 338	-1457690275776
SPT(16)	2561600882320371097	0 6 34 66 72 76 126 192 244 310 360 364 370 402 430 436	-1255656478870
SPT(16)	2561601179981156947	0 54 72 76 82 100 132 142 144 154 186 204 210 214 232 286	-957995693020
STPT(10)	2561601696331790417	0 2 30 32 42 44 54 56 84 86	-441645059550
TPT(14)	2561602830435411767	0 2 30 32 102 104 144 146 180 182 210 212 264 266	692458561800
SPT(16)	2561602990985150501	0 42 48 78 86 120 156 162 266 272 308 342 350 380 386 428	853008300534
SPT(16)	2561603091493294027	0 6 22 40 70 76 82 106 180 204 210 216 246 264 280 286	953516444060
SPT(16)	2561603125588375601	0 18 62 96 102 108 146 176 192 222 260 266 272 306 350 368	987611525634
SPT(16)	2561603171032598279	0 2 20 30 38 42 54 80 132 158 170 174 182 192 210 212	1033055748312