Prime p₀= 1307319602254336217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: vaughan
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1307319016206603629	0 8 14 62 80 92 104 108 164 168 180 192 210 258 264 272	-586047732588
SPT(16)	1307319077026023917	0 44 72 86 126 144 170 174 182 186 212 230 270 284 312 356	-525228312300
SPT(16)	1307319116244188771	0 20 26 72 96 120 122 140 162 180 182 206 230 276 282 302	-486010147446
STPT(10)	1307319242034042509	0 2 18 20 30 32 42 44 60 62	-360220293708
SPT(13)	1307319344145783779	0 12 42 54 90 114 132 150 174 210 222 252 264	-258108552438
SPT(16)	1307319527994340727	0 14 44 80 86 116 132 146 150 164 180 210 216 252 282 296	-74259995490
SPT(16)	1307319688131778081	0 18 22 28 82 106 118 138 160 180 192 216 270 276 280 298	85877441864
TPT(14)	1307320134144119087	0 2 24 26 114 116 150 152 192 194 252 254 282 284	531889782870
SPT(16)	1307320239765517591	0 12 18 22 48 60 118 138 160 180 238 250 276 280 286 298	637511181374
STPT(10)	1307320311462357947	0 2 30 32 42 44 54 56 84 86	709208021730
STPT(10)	1307320347674406851	0 2 30 32 60 62 90 92 120 122	745420070634