Prime p₀= 2370389626451782097 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2370388208148156401	0 2 6 8 18 20 30 32 36 38	-1418303625696
STPT(10)	2370388566742846619	0 2 12 14 30 32 48 50 60 62	-1059708935478
SPT(20)	2370388978691896787	0 56 92 144 186 192 210 216 270 312 314 356 410 416 434 440 482 534 570 626	-647759885310
SPT(16)	2370389047649372261	0 66 78 128 156 176 182 222 266 306 312 332 360 410 422 488	-578802409836
STPT(10)	2370389145671912117	0 2 30 32 42 44 54 56 84 86	-480779869980
SPT(16)	2370389378276542369	0 4 18 40 54 82 94 108 154 168 180 208 222 244 258 262	-248175239728
SPT(16)	2370389817517252967	0 42 62 102 174 200 204 206 210 212 216 242 314 354 374 416	191065470870
SPT(16)	2370390047359630381	0 12 18 46 82 96 120 178 180 238 262 276 312 340 346 358	420907848284
SPT(16)	2370390256118435923	0 10 28 36 54 66 108 130 144 166 208 220 238 246 264 274	629666653826
STPT(10)	2370390435339197147	0 2 30 32 60 62 90 92 120 122	808887415050
SPT(16)	2370390657171851771	0 30 42 86 116 210 216 290 402 476 482 576 606 650 662 692	1030720069674