Prime p₀= 2960376197606698691 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=82, k=10, 2 4 2 10 2

SPT(16)	2960373664424522581	0 6 30 42 48 78 118 132 226 240 280 310 316 328 352 358	-2533182176110
STPT(10)	2960375379444324227	0 2 12 14 42 44 72 74 84 86	-818162374464
TPT(14)	2960375379444324227	0 2 12 14 42 44 72 74 84 86 114 116 180 182	-818162374464
SPT(16)	2960376043847034749	0 2 30 44 80 132 170 222 242 294 332 384 420 434 462 464	-153759663942
SPT(16)	2960376131850221569	0 18 24 72 102 112 144 168 214 238 270 280 310 358 364 382	-65756477122
STPT(10)	2960376165141387257	0 2 42 44 72 74 102 104 144 146	-32465311434
STPT(10)	2960376340227202991	0 2 6 8 48 50 90 92 96 98	142620504300
STPT(10)	2960376370989891911	0 2 36 38 78 80 120 122 156 158	173383193220
STPT(10)	2960377630923023147	0 2 12 14 72 74 132 134 144 146	1433316324456
SPT(16)	2960377702571915663	0 78 90 108 164 188 206 224 240 258 276 300 356 374 386 464	1504965216972
STPT(10)	2960377738932051467	0 2 12 14 42 44 72 74 84 86	1541325352776