Prime p₀= 2098595868611275589 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: Landjunge
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2098594848472549943	0 50 90 98 126 150 164 206 228 270 284 308 336 344 384 434	-1020138725646
TPT(14)	2098594933586066819	0 2 12 14 72 74 192 194 330 332 360 362 450 452	-935025208770
SPT(16)	2098595054024988941	0 8 42 90 126 140 146 156 182 192 198 212 248 296 330 338	-814586286648
TPT(14)	2098595542186554779	0 2 12 14 18 20 42 44 90 92 168 170 408 410	-326424720810
SPT(16)	2098595775686693561	0 36 50 66 116 122 132 158 210 236 246 252 302 318 332 368	-92924582028
SPT(16)	2098595838404793263	0 6 20 50 60 74 116 156 158 198 240 254 264 294 308 314	-30206482326
SPT(16)	2098595919311483003	0 24 114 150 156 198 206 210 224 228 236 278 284 320 410 434	50700207414
TPT(14)	2098596212417860157	0 2 60 62 72 74 120 122 210 212 270 272 324 326	343806584568
SPT(16)	2098596376088294629	0 52 60 84 94 108 112 130 162 180 184 198 208 232 240 292	507477019040
SPT(16)	2098596540664237093	0 18 78 90 100 106 130 168 328 366 390 396 406 418 478 496	672052961504
STPT(10)	2098596548124640937	0 2 42 44 102 104 162 164 204 206	679513365348