Prime p₀= 1267736928515337101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

TPT(14)	1267736077604748929	0 2 60 62 72 74 102 104 288 290 300 302 372 374	-850910588172
SPT(16)	1267736105366247971	0 38 48 98 126 128 242 258 290 306 420 422 450 500 510 548	-823149089130
STPT(10)	1267736293862474477	0 2 30 32 42 44 54 56 84 86	-634652862624
STPT(10)	1267736310352891187	0 2 12 14 72 74 132 134 144 146	-618162445914
SPT(16)	1267736661482982751	0 48 60 88 90 120 126 130 198 202 208 238 240 268 280 328	-267032354350
SPT(16)	1267736703528881429	0 8 20 68 90 110 132 138 224 230 252 272 294 342 354 362	-224986455672
SPT(16)	1267737405907623481	0 18 22 48 70 78 88 112 138 162 172 180 202 228 232 250	477392286380
STPT(10)	1267738307010685421	0 2 6 8 18 20 30 32 36 38	1378495348320
SPT(16)	1267738371614028463	0 10 24 28 48 66 90 114 130 154 178 196 216 220 234 244	1443098691362
SPT(16)	1267738423460740657	0 24 34 70 114 132 150 154 222 226 244 262 306 342 352 376	1494945403556
STPT(10)	1267738859191588517	0 2 24 26 42 44 60 62 84 86	1930676251416