Prime p₀= 2352602746253065511 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: herby44
db: batch=81, k=10, 2 4 2 10 2

SPT(18)	2352601963264653781	0 6 16 28 58 66 136 150 160 168 178 192 262 270 300 312 322 328	-782988411730
SPT(16)	2352601976877486709	0 42 48 72 78 84 114 162 180 228 258 264 270 294 300 342	-769375578802
STPT(10)	2352602018309571599	0 2 18 20 30 32 42 44 60 62	-727943493912
SPT(16)	2352602283139440131	0 30 66 116 156 176 186 258 368 440 450 470 510 560 596 626	-463113625380
SPT(16)	2352602556890822287	0 10 24 64 84 132 162 190 204 232 262 310 330 370 384 394	-189362243224
TPT(14)	2352602666128103729	0 2 18 20 60 62 72 74 90 92 132 134 138 140	-80124961782
STPT(10)	2352602747104981667	0 2 90 92 102 104 114 116 204 206	851916156
STPT(10)	2352603175024020377	0 2 30 32 42 44 54 56 84 86	428770954866
STPT(10)	2352603441770914217	0 2 12 14 72 74 132 134 144 146	695517848706
STPT(10)	2352603847495979261	0 2 30 32 60 62 90 92 120 122	1101242913750
STPT(10)	2352603881411026889	0 2 48 50 60 62 72 74 120 122	1135157961378