Prime p₀= 1267517980518386039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1267517304506411909	0 2 14 38 54 62 144 150 272 278 360 368 384 408 420 422	-676011974130
SPT(16)	1267517386148907911	0 20 50 56 78 90 140 146 210 216 266 278 300 306 336 356	-594369478128
STPT(10)	1267517402429439149	0 2 18 20 30 32 42 44 60 62	-578088946890
SPT(16)	1267517641207021777	0 6 40 82 114 156 172 192 244 264 280 322 354 396 430 436	-339311364262
SPT(16)	1267517857524415547	0 42 44 116 134 164 186 206 240 260 282 312 330 402 404 446	-122993970492
STPT(10)	1267517978973385751	0 2 6 8 108 110 210 212 216 218	-1545000288
STPT(10)	1267518067804082837	0 2 30 32 42 44 54 56 84 86	87285696798
STPT(10)	1267518126715492019	0 2 18 20 30 32 42 44 60 62	146197105980
STPT(10)	1267518158112334991	0 2 30 32 78 80 126 128 156 158	177593948952
SPT(16)	1267518301002813337	0 46 100 106 114 150 184 186 244 246 280 316 324 330 384 430	320484427298
STPT(10)	1267518331431155777	0 2 30 32 42 44 54 56 84 86	350912769738