Prime p₀= 1245348502499171867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1245347621504639201	0 2 6 8 48 50 90 92 96 98	-880994532666
STPT(10)	1245347816039069927	0 2 30 32 60 62 90 92 120 122	-686460101940
STPT(10)	1245347845530645887	0 2 30 32 60 62 90 92 120 122	-656968525980
SPT(16)	1245347965397035567	0 4 6 16 22 82 90 130 156 196 204 264 270 280 282 286	-537102136300
SPT(16)	1245348184438605371	0 12 36 80 92 126 138 168 200 230 242 276 288 332 356 368	-318060566496
TPT(14)	1245348366895654907	0 2 114 116 270 272 294 296 312 314 462 464 510 512	-135603516960
STPT(10)	1245349077865740899	0 2 18 20 30 32 42 44 60 62	575366569032
SPT(16)	1245349254261594659	0 20 30 38 62 90 128 140 192 204 242 270 294 302 312 332	751762422792
SPT(16)	1245349348457362553	0 18 20 30 38 44 96 110 144 158 210 216 224 234 236 254	845958190686
TPT(14)	1245349873760624117	0 2 24 26 90 92 192 194 204 206 210 212 222 224	1371261452250
STPT(10)	1245350243381403791	0 2 30 32 78 80 126 128 156 158	1740882231924