Prime p₀= 3217256819951044691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: LM
db: batch=83, k=10, 2 4 2 10 2

STPT(10)	3217255985032843727	0 2 30 32 42 44 54 56 84 86	-834918200964
STPT(10)	3217256021415685199	0 2 18 20 30 32 42 44 60 62	-798535359492
SPT(16)	3217256380071826271	0 36 72 90 186 200 222 240 242 260 282 296 392 410 446 482	-439879218420
SPT(16)	3217256392008376591	0 42 46 60 90 100 112 150 178 216 228 238 268 282 286 328	-427942668100
SPT(16)	3217256425379057671	0 22 30 42 60 120 136 162 340 366 382 442 460 472 480 502	-394571987020
SPT(16)	3217256548489062197	0 2 24 30 86 104 132 170 186 224 252 270 326 332 354 356	-271461982494
SPT(16)	3217257087437418281	0 6 48 98 110 200 252 270 308 326 378 468 480 530 572 578	267486373590
TPT(14)	3217257284939247677	0 2 12 14 162 164 204 206 282 284 462 464 474 476	464988202986
SPT(16)	3217257294117589661	0 2 32 38 42 102 116 120 158 162 176 236 240 246 276 278	474166544970
SPT(22)	3217257421108875841	0 82 126 132 138 156 160 190 198 202 208 240 246 250 258 288 292 310 316 322 366 448	601157831150
STPT(10)	3217257498882852707	0 2 42 44 72 74 102 104 144 146	678931808016