Prime p₀= 2305791404417912231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2305790835558538613	0 20 48 54 84 90 126 134 150 158 194 200 230 236 264 284	-568859373618
STPT(10)	2305790907145402277	0 2 30 32 42 44 54 56 84 86	-497272509954
SPT(16)	2305791050545778659	0 28 30 100 108 112 118 162 238 282 288 292 300 370 372 400	-353872133572
STPT(10)	2305791078067100381	0 2 6 8 18 20 30 32 36 38	-326350811850
STPT(10)	2305791105738745949	0 2 42 44 60 62 78 80 120 122	-298679166282
SPT(16)	2305791204514951609	0 4 54 58 88 144 150 184 234 268 274 330 360 364 414 418	-199902960622
STPT(12)	2305791599540635691	0 2 60 62 90 92 210 212 240 242 300 302	195122723460
SPT(16)	2305791846535332713	0 8 38 68 140 194 204 288 290 374 384 438 510 540 570 578	442117420482
STPT(10)	2305792098783360569	0 2 48 50 90 92 132 134 180 182	694365448338
SPT(16)	2305792136828022889	0 22 54 82 100 102 160 184 228 252 310 312 330 358 390 412	732410110658
STPT(10)	2305792503726353027	0 2 12 14 42 44 72 74 84 86	1099308440796