Prime p₀= 1539906203190529841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: crashtech
db: batch=78, k=10, 2 4 2 10 2

SPT(16)	1539905287029966523	0 60 94 130 150 174 274 280 420 426 526 550 570 606 640 700	-916160563318
TPT(14)	1539905803832515121	0 2 6 8 30 32 60 62 78 80 120 122 156 158	-399358014720
SPT(16)	1539905833509679057	0 24 52 90 94 100 102 162 184 244 246 252 256 294 322 346	-369680850784
STPT(10)	1539905936284673051	0 2 6 8 48 50 90 92 96 98	-266905856790
SPT(16)	1539906103135545601	0 22 36 46 112 162 196 208 210 222 256 306 372 382 396 418	-100054984240
SPT(18)	1539906103216764607	0 16 42 60 70 100 106 126 132 214 220 240 246 276 286 304 330 346	-99973765234
STPT(10)	1539906483608559527	0 2 24 26 42 44 60 62 84 86	280418029686
SPT(16)	1539906815872961111	0 8 36 38 56 72 80 90 158 168 176 192 210 212 240 248	612682431270
STPT(10)	1539906828386850359	0 2 42 44 60 62 78 80 120 122	625196320518
STPT(10)	1539906853498606907	0 2 30 32 72 74 114 116 144 146	650308077066
SPT(16)	1539907432330059959	0 14 20 38 60 74 80 104 138 162 168 182 204 222 228 242	1229139530118