Prime p₀= 1267691819442468419 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)	1267690657139522657	0 2 30 32 42 44 54 56 84 86	-1162302945762
SPT(16)	1267690904627715611	0 36 38 72 92 102 110 138 140 168 176 186 206 240 242 278	-914814752808
STPT(10)	1267691050696410971	0 2 120 122 138 140 156 158 276 278	-768746057448
STPT(10)	1267691116434252701	0 2 36 38 78 80 120 122 156 158	-703008215718
STPT(10)	1267691383211144009	0 2 18 20 30 32 42 44 60 62	-436231324410
TPT(16)	1267691698489683347	0 2 12 14 24 26 114 116 150 152 210 212 402 404 480 482	-120952785072
SPT(16)	1267691971298170771	0 28 42 58 78 112 118 136 222 240 246 280 300 316 330 358	151855702352
SPT(16)	1267692490368302311	0 22 40 52 76 106 120 136 192 208 222 252 276 288 306 328	670925833892
STPT(10)	1267692630380805047	0 2 12 14 42 44 72 74 84 86	810938336628
SPT(16)	1267692653972886511	0 28 40 130 156 178 196 222 256 282 300 322 348 438 450 478	834530418092
STPT(10)	1267693153503587351	0 2 30 32 78 80 126 128 156 158	1334061118932