Prime p₀= 1267536105292291577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1267534044837373991	0 2 60 62 66 68 138 140 150 152 198 200 228 230	-2060454917586
SPT(16)	1267534829969458201	0 12 48 78 90 126 130 132 196 198 202 238 250 280 316 328	-1275322833376
STPT(12)	1267534839781564127	0 2 12 14 42 44 102 104 132 134 144 146	-1265510727450
SPT(16)	1267535410405621183	0 10 16 40 54 78 88 124 210 246 256 280 294 318 324 334	-694886670394
STPT(10)	1267535777149868921	0 2 30 32 60 62 90 92 120 122	-328142422656
STPT(10)	1267536078488734421	0 2 6 8 48 50 90 92 96 98	-26803557156
SPT(16)	1267536115448905147	0 4 10 42 70 72 112 114 130 132 172 174 202 234 240 244	10156613570
SPT(16)	1267536213693000509	0 14 30 32 144 168 170 222 230 282 284 308 420 422 438 452	108400708932
STPT(10)	1267536220294361957	0 2 30 32 60 62 90 92 120 122	115002070380
SPT(16)	1267536564463366753	0 30 54 64 96 118 156 180 184 208 246 268 300 310 334 364	459171075176
SPT(16)	1267536593120575619	0 18 62 80 102 108 162 164 228 230 284 290 312 330 374 392	487828284042