Prime p₀= 1427365267029616919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=78, k=10, 2 10 2 76 2

TPT(14)	1427363314364237981	0 2 66 68 78 80 90 92 108 110 120 122 168 170	-1952665378938
STPT(10)	1427363684595316709	0 2 42 44 90 92 138 140 180 182	-1582434300210
SPT(16)	1427364368352285533	0 14 36 48 78 98 104 108 146 150 156 176 206 218 240 254	-898677331386
SPT(16)	1427364807935330951	0 12 38 56 60 68 162 206 222 266 360 368 372 390 416 428	-459094285968
SPT(16)	1427365087936449539	0 42 50 120 152 174 182 192 290 300 308 330 362 432 440 482	-179093167380
STPT(10)	1427365100787676871	0 2 6 8 18 20 30 32 36 38	-166241940048
STPT(10)	1427365296724637717	0 2 42 44 72 74 102 104 144 146	29695020798
STPT(10)	1427365536233309501	0 2 6 8 48 50 90 92 96 98	269203692582
STPT(10)	1427365654132227767	0 2 24 26 42 44 60 62 84 86	387102610848
SPT(16)	1427365740076131109	0 28 42 48 52 70 114 132 220 238 282 300 304 310 324 352	473046514190
TPT(14)	1427365857004899107	0 2 30 32 102 104 162 164 240 242 294 296 330 332	589975282188