Prime p₀= 2960289108459765959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2960287237811379163	0 36 46 64 106 114 150 154 186 190 226 234 276 294 304 340	-1870648386796
STPT(10)	2960288088407796899	0 2 18 20 30 32 42 44 60 62	-1020051969060
STPT(10)	2960288118603180119	0 2 18 20 30 32 42 44 60 62	-989856585840
SPT(16)	2960288236026412477	0 40 42 70 72 106 112 124 162 174 180 214 216 244 246 286	-872433353482
STPT(10)	2960288323747859957	0 2 30 32 72 74 114 116 144 146	-784711906002
SPT(16)	2960289108405876773	0 8 18 38 44 54 80 120 158 198 224 234 240 260 270 278	-53889186
SPT(20)	2960289912978842551	0 46 60 72 120 150 172 216 226 262 420 456 466 510 532 562 610 622 636 682	804519076592
STPT(10)	2960290593219216611	0 2 6 8 48 50 90 92 96 98	1484759450652
STPT(10)	2960291015048786687	0 2 90 92 102 104 114 116 204 206	1906589020728
SPT(16)	2960291033053713301	0 22 28 46 78 82 132 172 336 376 426 430 462 480 486 508	1924593947342
SPT(16)	2960291853499409939	0 12 24 68 74 144 158 164 168 174 188 258 264 308 320 332	2745039643980