Prime p₀= 1286311037718765587 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: Megacruncher
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1286310097914744557	0 2 54 56 72 74 90 92 144 146	-939804021030
STPT(10)	1286310317099270159	0 2 12 14 90 92 168 170 180 182	-720619495428
SPT(16)	1286310410768615537	0 26 42 54 86 92 156 162 194 200 264 270 302 314 330 356	-626950150050
STPT(10)	1286310429288647549	0 2 42 44 90 92 138 140 180 182	-608430118038
TPT(14)	1286310574221999299	0 2 42 44 138 140 180 182 210 212 288 290 372 374	-463496766288
STPT(10)	1286310951144500117	0 2 42 44 72 74 102 104 144 146	-86574265470
STPT(10)	1286311328998424579	0 2 42 44 90 92 138 140 180 182	291279658992
STPT(10)	1286311499086123577	0 2 12 14 72 74 132 134 144 146	461367357990
SPT(16)	1286311818353220973	0 6 46 138 174 208 216 250 264 298 306 340 376 468 508 514	780634455386
SPT(16)	1286312068986622553	0 14 18 30 56 78 170 194 210 234 326 348 374 386 390 404	1031267856966
SPT(16)	1286312266886540063	0 8 56 66 78 114 128 140 144 156 170 206 218 228 276 284	1229167774476