Prime p₀= 1413627571087042427 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: bfromcolo
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1413627073937505169	0 42 52 64 100 172 228 250 252 274 330 402 438 450 460 502	-497149537258
SPT(16)	1413627147151717607	0 26 50 84 152 170 180 224 282 326 336 354 422 456 480 506	-423935324820
STPT(10)	1413627151762490771	0 2 36 38 138 140 240 242 276 278	-419324551656
STPT(10)	1413627239611972109	0 2 48 50 90 92 132 134 180 182	-331475070318
TPT(14)	1413627265848384227	0 2 12 14 54 56 90 92 132 134 222 224 252 254	-305238658200
STPT(10)	1413627505698143579	0 2 18 20 30 32 42 44 60 62	-65388898848
SPT(16)	1413627628127176387	0 16 24 34 94 136 216 220 276 280 360 402 462 472 480 496	57040133960
SPT(16)	1413627903935395637	0 30 42 74 84 90 102 114 140 152 164 170 180 212 224 254	332848353210
STPT(10)	1413628394940541991	0 2 30 32 78 80 126 128 156 158	823853499564
SPT(16)	1413628556989714811	0 30 50 56 78 92 98 102 116 120 126 140 162 168 188 218	985902672384
STPT(10)	1413629069850991517	0 2 30 32 42 44 54 56 84 86	1498763949090