Prime p₀= 2556345902829298289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2556344274476324599	0 88 114 138 144 148 180 208 270 298 330 334 340 364 390 478	-1628352973690
STPT(10)	2556344477143069367	0 2 60 62 72 74 84 86 144 146	-1425686228922
SPT(16)	2556344597497422233	0 14 54 68 74 78 80 84 134 138 140 144 150 164 204 218	-1305331876056
STPT(10)	2556344847233842667	0 2 30 32 72 74 114 116 144 146	-1055595455622
TPT(14)	2556345379841020769	0 2 72 74 108 110 138 140 198 200 210 212 222 224	-522988277520
SPT(16)	2556345405229987037	0 20 24 36 90 132 150 164 252 266 284 326 380 392 396 416	-497599311252
SPT(16)	2556346225927577521	0 22 42 58 72 100 162 180 190 208 270 298 312 328 348 370	323098279232
SPT(16)	2556346715167957381	0 18 36 46 60 96 102 168 250 316 322 358 372 382 400 418	812338659092
SPT(16)	2556347024944862777	0 12 60 62 66 96 144 146 270 272 320 350 354 356 404 416	1122115564488
STPT(10)	2556347194967434049	0 2 18 20 30 32 42 44 60 62	1292138135760
STPT(10)	2556347217115377701	0 2 36 38 78 80 120 122 156 158	1314286079412