Prime p₀= 1251109702100217929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: HenkM
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1251108895938024701	0 8 62 68 78 96 120 152 156 188 212 230 240 246 300 308	-806162193228
SPT(16)	1251108897391714211	0 6 32 56 60 90 110 126 152 168 188 218 222 246 272 278	-804708503718
STPT(10)	1251109018016852549	0 2 42 44 60 62 78 80 120 122	-684083365380
SPT(16)	1251109030756423469	0 8 80 92 140 152 182 234 278 330 360 372 420 432 504 512	-671343794460
SPT(20)	1251109119529394677	0 76 90 100 114 132 144 172 184 216 250 282 294 322 334 352 366 376 390 466	-582570823252
SPT(16)	1251109305272454401	0 2 8 56 72 120 126 210 218 302 308 356 372 420 426 428	-396827763528
SPT(16)	1251109882506811057	0 34 42 76 82 96 126 132 184 190 220 234 240 274 282 316	180406593128
SPT(16)	1251110034282518281	0 22 60 70 72 76 88 148 180 240 252 256 258 268 306 328	332182300352
SPT(16)	1251110213628076909	0 18 28 42 60 70 172 232 258 318 420 430 448 462 472 490	511527858980
SPT(16)	1251110778389251799	0 12 50 62 144 180 204 210 242 248 272 308 390 402 440 452	1076289033870
SPT(16)	1251110780042991971	0 32 90 116 146 176 182 200 252 270 276 306 336 362 420 452	1077942774042