Prime p₀= 2392671802650399239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2392670132612070419	0 8 12 44 78 92 122 138 164 180 210 224 258 290 294 302	-1670038328820
STPT(10)	2392670350388444207	0 2 54 56 72 74 90 92 144 146	-1452261955032
TPT(14)	2392670543687052197	0 2 60 62 90 92 132 134 204 206 252 254 282 284	-1258963347042
SPT(16)	2392670620085875963	0 10 16 30 64 66 100 124 126 150 184 186 220 234 240 250	-1182564523276
STPT(10)	2392670991024682229	0 2 78 80 120 122 162 164 240 242	-811625717010
SPT(16)	2392671249460136317	0 60 100 112 136 166 210 246 256 292 336 366 390 402 442 502	-553190262922
STPT(10)	2392671989382673259	0 2 48 50 60 62 72 74 120 122	186732274020
STPT(10)	2392672660400061449	0 2 48 50 90 92 132 134 180 182	857749662210
STPT(10)	2392672890968795759	0 2 18 20 30 32 42 44 60 62	1088318396520
STPT(10)	2392673035250598797	0 2 54 56 72 74 90 92 144 146	1232600199558
STPT(10)	2392673371261732451	0 2 6 8 48 50 90 92 96 98	1568611333212