Prime p₀= 2299891198674590069 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=81, k=10, 2 46 2 40 2

SPT(16)	2299889353848498143	0 14 30 86 120 216 266 314 330 378 428 524 558 614 630 644	-1844826091926
STPT(10)	2299889481164988917	0 2 12 14 42 44 72 74 84 86	-1717509601152
STPT(10)	2299890562193843807	0 2 24 26 42 44 60 62 84 86	-636480746262
SPT(16)	2299890817848559037	0 44 50 56 102 116 126 144 152 170 180 194 240 246 252 296	-380826031032
SPT(16)	2299890983819452579	0 22 40 64 72 100 112 132 142 162 174 202 210 234 252 274	-214855137490
SPT(16)	2299891156593929737	0 42 60 82 124 150 180 196 210 226 256 282 324 346 364 406	-42080660332
SPT(16)	2299891335677575831	0 6 28 58 70 78 112 132 136 156 190 198 210 240 262 268	137002985762
TPT(14)	2299891548869872157	0 2 54 56 90 92 114 116 222 224 270 272 354 356	350195282088
STPT(10)	2299892610373274261	0 2 36 38 78 80 120 122 156 158	1411698684192
SPT(16)	2299892652719424733	0 48 54 64 70 78 94 120 124 150 166 174 180 190 196 244	1454044834664
SPT(16)	2299892688248820583	0 88 106 120 136 150 234 256 318 340 424 438 454 468 486 574	1489574230514