Prime p₀= 2562658120057948667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2562657436420909571	0 8 30 60 78 116 156 216 242 302 342 380 398 428 450 458	-683637039096
SPT(16)	2562657649204106147	0 2 12 156 194 212 224 302 354 432 444 462 500 644 654 656	-470853842520
SPT(16)	2562657896432755663	0 24 70 78 150 154 210 226 258 274 330 334 406 414 460 484	-223625193004
SPT(16)	2562658015092669409	0 24 48 70 112 142 168 172 240 244 270 300 342 364 388 412	-104965279258
STPT(10)	2562658021396012451	0 2 6 8 18 20 30 32 36 38	-98661936216
STPT(10)	2562658113733464947	0 2 30 32 72 74 114 116 144 146	-6324483720
SPT(16)	2562658188821535193	0 4 46 54 60 70 90 114 226 250 270 280 286 294 336 340	68763586526
SPT(16)	2562658548100964981	0 12 108 128 152 162 182 210 248 276 296 306 330 350 446 458	428043016314
STPT(12)	2562658856345649569	0 2 30 32 60 62 72 74 102 104 132 134	736287700902
SPT(16)	2562658954334891353	0 18 36 40 78 96 106 118 126 138 148 166 204 208 226 244	834276942686
SPT(16)	2562659528928926939	0 32 42 50 98 102 108 110 150 152 158 162 210 218 228 260	1408870978272