Prime p₀= 2341499723470188101 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)	2341498072315866599	0 18 20 80 84 120 150 158 174 182 212 248 252 312 314 332	-1651154321502
SPT(16)	2341498135892832929	0 8 24 42 84 122 140 150 152 162 180 218 260 278 294 302	-1587577355172
SPT(16)	2341498201641566551	0 6 42 48 90 112 126 162 166 202 216 238 280 286 322 328	-1521828621550
TPT(14)	2341498349410136171	0 2 48 50 78 80 138 140 258 260 318 320 390 392	-1374060051930
STPT(10)	2341499021474168999	0 2 42 44 60 62 78 80 120 122	-701996019102
STPT(10)	2341499697636026867	0 2 30 32 120 122 210 212 240 242	-25834161234
TPT(14)	2341499910285580127	0 2 12 14 30 32 42 44 114 116 144 146 210 212	186815392026
TPT(14)	2341500136912263671	0 2 36 38 120 122 180 182 198 200 240 242 276 278	413442075570
STPT(10)	2341500657224028227	0 2 30 32 72 74 114 116 144 146	933753840126
SPT(16)	2341501171265277179	0 12 14 32 54 98 138 182 300 344 384 428 450 468 470 482	1447795089078
SPT(16)	2341501544216805599	0 30 62 68 104 122 150 200 222 272 300 318 354 360 392 422	1820746617498