Prime p₀= 2364185508015572627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2364184649014925897	0 2 30 32 42 44 54 56 84 86	-859000646730
SPT(16)	2364184784897490539	0 12 32 50 92 102 108 110 150 152 158 168 210 228 248 260	-723118082088
SPT(16)	2364184794160193783	0 6 20 48 78 98 104 108 116 120 126 146 176 204 218 224	-713855378844
SPT(16)	2364184915680424481	0 2 36 56 110 116 152 168 170 186 222 228 282 302 336 338	-592335148146
STPT(10)	2364184983463892747	0 2 30 32 72 74 114 116 144 146	-524551679880
STPT(10)	2364185390781439187	0 2 30 32 42 44 54 56 84 86	-117234133440
SPT(16)	2364185741048208631	0 16 72 82 120 138 142 156 262 276 280 298 336 346 402 418	233032636004
SPT(16)	2364185933203120069	0 24 42 52 102 130 184 234 268 318 372 400 450 460 478 502	425187547442
STPT(10)	2364185999689026011	0 2 36 38 78 80 120 122 156 158	491673453384
STPT(12)	2364186327766468559	0 2 30 32 48 50 210 212 228 230 258 260	819750895932
SPT(16)	2364186343402129639	0 24 30 64 70 154 178 184 198 204 228 312 318 352 358 382	835386557012