Prime p₀= 1289438220605323049 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1289437635557873297	0 2 60 62 72 74 84 86 144 146	-585047449752
STPT(10)	1289437807467860117	0 2 60 62 72 74 84 86 144 146	-413137462932
SPT(16)	1289437942465202767	0 100 102 112 156 172 186 196 210 220 234 250 294 304 306 406	-278140120282
STPT(10)	1289437951211949347	0 2 54 56 72 74 90 92 144 146	-269393373702
SPT(16)	1289437985172442537	0 22 42 66 70 82 112 124 132 144 174 186 190 214 234 256	-235432880512
STPT(10)	1289437995188657957	0 2 30 32 42 44 54 56 84 86	-225416665092
STPT(10)	1289438599851654137	0 2 30 32 42 44 54 56 84 86	379246331088
TPT(14)	1289438736614544149	0 2 18 20 60 62 138 140 210 212 270 272 282 284	516009221100
TPT(14)	1289438845527433751	0 2 126 128 168 170 276 278 300 302 306 308 336 338	624922110702
SPT(16)	1289439112059453319	0 18 28 90 112 130 150 172 180 202 222 240 262 324 334 352	891454130270
STPT(10)	1289439530886632141	0 2 30 32 78 80 126 128 156 158	1310281309092