Prime p₀= 2565591277722862577 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: amargo133
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2565589544382450629	0 8 14 18 50 114 128 138 140 150 164 228 260 264 270 278	-1733340411948
SPT(16)	2565589867162741511	0 2 32 60 66 80 102 110 198 206 228 242 248 276 306 308	-1410560121066
SPT(16)	2565590567775608179	0 34 70 108 114 120 148 190 198 240 268 274 280 318 354 388	-709947254398
SPT(16)	2565590628366998003	0 50 74 78 98 114 128 176 198 246 260 276 296 300 324 374	-649355864574
STPT(10)	2565591123612650597	0 2 120 122 162 164 204 206 324 326	-154110211980
STPT(10)	2565591168190525997	0 2 30 32 42 44 54 56 84 86	-109532336580
SPT(16)	2565591361621200923	0 8 44 50 90 98 108 134 330 356 366 374 414 420 456 464	83898338346
STPT(10)	2565591398784076259	0 2 18 20 60 62 102 104 120 122	121061213682
STPT(10)	2565591611673321851	0 2 6 8 48 50 90 92 96 98	333950459274
SPT(16)	2565591644099100767	0 2 12 20 56 62 66 72 80 86 90 96 132 140 150 152	366376238190
SPT(16)	2565591692417233289	0 8 54 80 84 140 144 200 228 284 288 344 348 374 420 428	414694370712