Prime p₀= 2564285980321127729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2564284275334039501	0 18 28 48 88 130 132 136 162 166 168 210 250 270 280 298	-1704987088228
SPT(16)	2564284444538780617	0 66 76 90 136 150 154 196 324 366 370 384 430 444 454 520	-1535782347112
SPT(16)	2564284717219062463	0 30 48 54 70 84 124 126 148 150 190 204 220 226 244 274	-1263102065266
STPT(10)	2564284892343905849	0 2 18 20 30 32 42 44 60 62	-1087977221880
SPT(16)	2564284992258286387	0 16 30 46 60 102 114 142 294 322 334 376 390 406 420 436	-988062841342
SPT(16)	2564285791199534947	0 30 42 136 210 220 226 240 262 276 282 292 366 460 472 502	-189121592782
SPT(16)	2564286126221427701	0 36 66 92 122 132 140 150 158 168 176 186 216 242 272 308	145900299972
SPT(16)	2564286189035075287	0 46 70 76 82 84 94 102 124 132 142 144 150 156 180 226	208713947558
STPT(10)	2564286511602058457	0 2 30 32 42 44 54 56 84 86	531280930728
TPT(14)	2564286746350719821	0 2 6 8 156 158 378 380 450 452 510 512 606 608	766029592092
STPT(12)	2564286976464131909	0 2 12 14 48 50 132 134 168 170 180 182	996143004180