Prime p₀= 2508809638362895139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2508807776087876371	0 28 52 70 82 120 132 136 192 196 208 246 258 276 300 328	-1862275018768
SPT(16)	2508808317586099759	0 40 54 60 70 84 90 130 132 172 178 192 202 208 222 262	-1320776795380
STPT(10)	2508808487308754927	0 2 72 74 102 104 132 134 204 206	-1151054140212
SPT(16)	2508808694618977391	0 42 68 78 92 110 128 186 212 270 288 306 320 330 356 398	-943743917748
TPT(14)	2508808836781504331	0 2 90 92 96 98 156 158 180 182 240 242 270 272	-801581390808
SPT(16)	2508809023518386657	0 32 56 60 90 162 182 186 470 474 494 566 596 600 624 656	-614844508482
SPT(16)	2508810177243275987	0 14 56 104 146 152 162 204 242 284 294 300 342 390 432 446	538880380848
SPT(16)	2508810305115532427	0 42 72 74 84 104 116 164 192 240 252 272 282 284 314 356	666752637288
STPT(10)	2508810385953873917	0 2 24 26 42 44 60 62 84 86	747590978778
SPT(16)	2508810666087710993	0 38 50 98 108 128 134 164 210 240 246 266 276 324 336 374	1027724815854
STPT(10)	2508810808738773311	0 2 36 38 108 110 180 182 216 218	1170375878172