Prime p₀= 1267811440776478859 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1267809221880899609	0 2 18 20 30 32 42 44 60 62	-2218895579250
SPT(16)	1267809232788013127	0 56 66 72 132 150 210 212 414 416 476 494 554 560 570 626	-2207988465732
STPT(10)	1267809517741464239	0 2 12 14 90 92 168 170 180 182	-1923035014620
STPT(10)	1267809882026809787	0 2 12 14 42 44 72 74 84 86	-1558749669072
SPT(16)	1267810615512170537	0 14 62 66 90 96 114 192 194 272 290 296 320 324 372 386	-825264308322
SPT(16)	1267810753370992709	0 2 8 42 90 92 132 134 138 140 180 182 230 264 270 272	-687405486150
SPT(16)	1267811465809264837	0 6 42 66 82 136 142 180 196 234 240 294 310 334 370 376	25032785978
SPT(16)	1267811529235181383	0 4 6 24 34 76 120 126 154 160 204 246 256 274 276 280	88458702524
STPT(10)	1267811669989085939	0 2 12 14 90 92 168 170 180 182	229212607080
SPT(16)	1267811792760872267	0 2 42 60 80 84 86 96 200 210 212 216 236 254 294 296	351984393408
SPT(16)	1267811843885326451	0 32 56 60 108 110 162 180 188 206 258 260 308 312 336 368	403108847592