Prime p₀= 2864778659860837607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2864776873347040103	0 8 26 48 86 90 116 168 188 240 266 270 308 330 348 356	-1786513797504
STPT(10)	2864777051040855017	0 2 60 62 72 74 84 86 144 146	-1608819982590
SPT(16)	2864777186002020983	0 26 30 66 68 74 80 110 114 144 150 156 158 194 198 224	-1473858816624
SPT(16)	2864778254510367343	0 10 54 66 96 150 208 220 264 276 334 388 418 430 474 484	-405350470264
SPT(16)	2864778376862640949	0 28 42 54 124 130 190 198 214 222 282 288 358 370 384 412	-282998196658
SPT(16)	2864778451036628629	0 28 118 142 184 192 208 250 252 294 310 318 360 384 474 502	-208824208978
STPT(10)	2864779073242322849	0 2 18 20 30 32 42 44 60 62	413381485242
STPT(10)	2864779246619637869	0 2 18 20 30 32 42 44 60 62	586758800262
SPT(16)	2864779592476654217	0 24 32 36 66 72 92 122 204 234 254 260 290 294 302 326	932615816610
STPT(10)	2864779854308002229	0 2 18 20 30 32 42 44 60 62	1194447164622
STPT(10)	2864779879253380631	0 2 6 8 48 50 90 92 96 98	1219392543024