Prime p₀= 1424810596404721619 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: rlacr
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1424808515342817887	0 2 42 44 72 74 102 104 144 146	-2081061903732
SPT(16)	1424808904078166791	0 6 42 46 48 52 60 78 100 118 126 130 132 136 172 178	-1692326554828
TPT(14)	1424809299491164901	0 2 96 98 150 152 156 158 270 272 306 308 480 482	-1296913556718
STPT(10)	1424809322161524107	0 2 12 14 72 74 132 134 144 146	-1274243197512
STPT(12)	1424809579650594479	0 2 12 14 42 44 138 140 168 170 180 182	-1016754127140
SPT(16)	1424810172115559767	0 46 52 66 70 124 150 184 222 256 282 336 340 354 360 406	-424289161852
STPT(10)	1424810854414726307	0 2 12 14 42 44 72 74 84 86	258010004688
STPT(12)	1424810942713167377	0 2 54 56 60 62 84 86 90 92 144 146	346308445758
SPT(16)	1424811040490099729	0 54 102 122 132 134 162 200 252 290 318 320 330 350 398 452	444085378110
STPT(10)	1424811815909117981	0 2 36 38 78 80 120 122 156 158	1219504396362
SPT(16)	1424812272145089941	0 32 60 122 152 200 218 240 248 270 288 336 366 428 456 488	1675740368322