Prime p₀= 1311703012392816257 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1311701335063342589	0 2 42 44 60 62 78 80 120 122	-1677329473668
SPT(16)	1311701767231542217	0 10 16 66 100 102 142 156 166 180 220 222 256 306 312 322	-1245161274040
SPT(18)	1311702167712791549	0 8 18 24 102 144 212 234 270 272 308 330 398 440 518 524 534 542	-844680024708
SPT(16)	1311702205469153207	0 6 36 62 92 114 120 146 150 176 182 204 234 260 290 296	-806923663050
SPT(16)	1311702923978338481	0 36 38 50 72 80 98 102 146 150 168 176 198 210 212 248	-88414477776
STPT(10)	1311702987061465049	0 2 42 44 60 62 78 80 120 122	-25331351208
STPT(10)	1311703137747266879	0 2 18 20 30 32 42 44 60 62	125354450622
SPT(16)	1311703200434712221	0 6 30 50 66 80 92 122 180 210 222 236 252 272 296 302	188041895964
SPT(16)	1311703428195732941	0 20 32 80 90 102 120 150 158 188 206 218 228 276 288 308	415802916684
SPT(16)	1311703521137009239	0 18 22 64 70 72 78 94 198 214 220 222 228 270 274 292	508744192982
TPT(14)	1311704420674716161	0 2 30 32 120 122 216 218 228 230 420 422 450 452	1408281899904