Prime p₀= 1273437098310437309 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: mikey
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1273436594824854107	0 14 20 50 60 72 84 86 90 92 104 116 126 156 162 176	-503485583202
SPT(16)	1273436658801542891	0 8 42 60 66 90 138 152 216 230 278 302 308 326 360 368	-439508894418
SPT(16)	1273436760601774063	0 36 40 78 124 130 136 154 180 198 204 210 256 294 298 334	-337708663246
STPT(10)	1273436797475760887	0 2 30 32 72 74 114 116 144 146	-300834676422
TPT(14)	1273436869043532119	0 2 78 80 108 110 180 182 210 212 222 224 252 254	-229266905190
STPT(10)	1273437094307004167	0 2 90 92 102 104 114 116 204 206	-4003433142
STPT(10)	1273437469471290857	0 2 30 32 42 44 54 56 84 86	371160853548
STPT(10)	1273437534113782949	0 2 18 20 30 32 42 44 60 62	435803345640
SPT(16)	1273437579120731879	0 2 32 50 114 158 170 204 218 252 264 308 372 390 420 422	480810294570
STPT(10)	1273437842640939761	0 2 36 38 78 80 120 122 156 158	744330502452
STPT(10)	1273437864763982147	0 2 24 26 42 44 60 62 84 86	766453544838