Prime p₀= 2083113075306047789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: gemini8
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2083111939030132391	0 8 42 50 108 120 132 170 210 248 260 272 330 338 372 380	-1136275915398
SPT(16)	2083111947411158933	0 54 66 98 120 150 176 218 366 408 434 464 486 518 530 584	-1127894888856
SPT(16)	2083112241626233487	0 24 50 74 126 132 152 200 336 384 404 410 462 486 512 536	-833679814302
TPT(14)	2083112390042128259	0 2 12 14 42 44 48 50 78 80 150 152 192 194	-685263919530
STPT(10)	2083112640246481097	0 2 60 62 102 104 144 146 204 206	-435059566692
TPT(14)	2083112749208144501	0 2 66 68 108 110 150 152 288 290 378 380 390 392	-326097903288
TPT(14)	2083113514429102007	0 2 12 14 30 32 72 74 114 116 180 182 240 242	439123054218
STPT(10)	2083113558716553029	0 2 42 44 60 62 78 80 120 122	483410505240
SPT(16)	2083113888261862459	0 12 22 54 90 108 168 202 240 274 334 352 388 420 430 442	812955814670
SPT(16)	2083114285676690023	0 16 58 60 64 66 108 136 168 196 238 240 244 246 288 304	1210370642234
TPT(14)	2083114309996678949	0 2 42 44 48 50 72 74 90 92 168 170 222 224	1234690631160