Prime p₀= 1267483136617280837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1267482282411844931	0 18 50 80 92 126 132 168 200 236 242 276 288 318 350 368	-854205435906
STPT(10)	1267482645591808739	0 2 18 20 30 32 42 44 60 62	-491025472098
STPT(10)	1267482656478635417	0 2 60 62 72 74 84 86 144 146	-480138645420
SPT(16)	1267482779414917469	0 20 32 54 60 62 92 104 180 192 222 224 230 252 264 284	-357202363368
SPT(16)	1267482854105274689	0 12 24 42 68 78 114 150 182 218 254 264 290 308 320 332	-282512006148
SPT(16)	1267482950481573139	0 12 48 90 108 124 142 144 208 210 228 244 262 304 340 352	-186135707698
STPT(10)	1267483261753884689	0 2 48 50 90 92 132 134 180 182	125136603852
SPT(16)	1267483375546792249	0 28 40 42 60 72 88 130 180 222 238 250 268 270 282 310	238929511412
SPT(18)	1267483480006130749	0 4 18 48 84 118 174 190 214 294 318 334 390 424 460 490 504 508	343388849912
SPT(13)	1267483676266486643	0 6 24 30 54 84 90 96 126 150 156 174 180	539649205806
SPT(16)	1267484154059018491	0 52 60 70 100 112 166 168 280 282 336 348 378 388 396 448	1017441737654