Prime p₀= 3028523415290098457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Asgard2022
db: batch=82, k=10, 2 28 2 10 2

TPT(16)	3028522597019724059	0 2 78 80 138 140 162 164 168 170 210 212 378 380 390 392	-818270374398
SPT(16)	3028522682950385737	0 22 30 42 114 156 190 204 292 306 340 382 454 466 474 496	-732339712720
SPT(16)	3028523035143823667	0 6 24 32 74 102 116 126 140 150 164 192 234 242 260 266	-380146274790
SPT(16)	3028523110364228353	0 6 10 34 66 84 108 148 156 196 220 238 270 294 298 304	-304925870104
STPT(10)	3028523114852963249	0 2 18 20 30 32 42 44 60 62	-300437135208
SPT(16)	3028523201009284289	0 12 20 84 104 120 182 204 230 252 314 330 350 414 422 434	-214280814168
SPT(18)	3028524321894086047	0 6 30 36 96 112 142 156 160 246 250 264 294 310 370 376 400 406	906603987590
SPT(16)	3028524418054603327	0 66 100 114 136 186 234 256 264 286 334 384 406 420 454 520	1002764504870
SPT(16)	3028524952498155119	0 20 60 72 102 228 230 234 308 312 314 440 470 482 522 542	1537208056662
STPT(10)	3028525081327728779	0 2 18 20 30 32 42 44 60 62	1666037630322
SPT(16)	3028525285953790261	0 6 16 18 28 30 48 52 126 130 148 150 160 162 172 178	1870663691804