Prime p₀= 1087121688709299491 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: gemini8
db: batch=76, k=10, 2 64 2 70 2

SPT(16)	1087120789850068769	0 8 20 80 108 120 138 200 210 272 290 302 330 390 402 410	-898859230722
STPT(10)	1087120863355456841	0 2 6 8 18 20 30 32 36 38	-825353842650
SPT(16)	1087121170883891029	0 24 82 84 90 124 148 162 220 234 258 292 298 300 358 382	-517825408462
TPT(14)	1087121394932715689	0 2 30 32 42 44 138 140 240 242 288 290 318 320	-293776583802
STPT(10)	1087121449094900699	0 2 18 20 30 32 42 44 60 62	-239614398792
SPT(16)	1087121538698576587	0 12 34 42 70 114 162 166 240 244 292 336 364 372 394 406	-150010722904
STPT(10)	1087121812896487967	0 2 30 32 42 44 54 56 84 86	124187188476
STPT(10)	1087121985745294319	0 2 42 44 60 62 78 80 120 122	297035994828
SPT(16)	1087122387339743509	0 18 34 40 72 82 88 174 208 294 300 310 342 348 364 382	698630444018
TPT(14)	1087122614426216897	0 2 12 14 60 62 144 146 174 176 270 272 300 302	925716917406
SPT(16)	1087122629011242403	0 90 108 208 250 258 310 364 390 444 496 504 546 646 664 754	940301942912