Prime p₀= 2128662976093324961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 76 2 76 2 88 2 (?)
a_n: 0 2 90 92 168 170 246 248 336 338
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: 338
Found by: Landjunge
db: batch=80, k=10, 2 88 2 76 2

SPT(16)	2128662213692820181	0 6 60 70 82 88 112 120 178 186 210 216 228 238 292 298	-762400504780
STPT(10)	2128662242469851507	0 2 42 44 72 74 102 104 144 146	-733623473454
STPT(10)	2128662262325832719	0 2 12 14 90 92 168 170 180 182	-713767492242
STPT(10)	2128662437030491247	0 2 54 56 72 74 90 92 144 146	-539062833714
STPT(10)	2128662788140401389	0 2 30 32 60 62 90 92 120 122	-187952923572
SPT(16)	2128662823615766117	0 12 26 60 86 116 120 182 240 302 306 336 362 396 410 422	-152477558844
SPT(16)	2128663053752777809	0 24 70 78 112 114 190 234 268 312 388 390 424 432 478 502	77659452848
TPT(14)	2128663055071904777	0 2 24 26 60 62 150 152 180 182 270 272 282 284	78978579816
SPT(16)	2128663820076183349	0 12 22 70 78 114 138 144 148 154 178 214 222 270 280 292	843982858388
SPT(16)	2128663856058625609	0 78 132 142 162 184 208 232 300 324 348 370 390 400 454 532	879965300648
SPT(20)	2128664011585575791	0 26 62 68 110 120 140 186 230 260 318 348 392 438 458 468 510 516 552 578	1035492250830