Prime p₀= 2369715203357138627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Xenon
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2369714294488673549	0 2 18 20 30 32 42 44 60 62	-908868465078
SPT(16)	2369714544268074343	0 58 70 84 88 90 114 118 156 160 184 186 190 204 216 274	-659089064284
SPT(16)	2369714818137458359	0 42 54 60 72 102 130 162 190 222 250 280 292 298 310 352	-385219680268
TPT(14)	2369715018187507931	0 2 108 110 150 152 210 212 348 350 378 380 426 428	-185169630696
TPT(14)	2369715061952468597	0 2 42 44 54 56 132 134 162 164 222 224 252 254	-141404670030
STPT(10)	2369715121668547967	0 2 30 32 72 74 114 116 144 146	-81688590660
STPT(10)	2369716184106023717	0 2 30 32 42 44 54 56 84 86	980748885090
TPT(14)	2369716200804748907	0 2 24 26 42 44 60 62 114 116 210 212 282 284	997447610280
SPT(16)	2369716291749577961	0 38 42 50 56 60 66 78 80 92 98 102 108 116 120 158	1088392439334
SPT(16)	2369716321061498569	0 10 34 42 90 102 118 124 138 144 160 172 220 228 252 262	1117704359942
SPT(16)	2369716605273418021	0 40 76 82 90 208 232 252 286 306 330 448 456 462 498 538	1401916279394