Prime p₀= 2637516423626191337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: RFGuy_KCCO
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2637513742937658349	0 58 78 94 142 150 172 174 298 300 322 330 378 394 414 472	-2680688532988
STPT(12)	2637513872848657457	0 2 42 44 90 92 132 134 180 182 222 224	-2550777533880
SPT(16)	2637515183211465569	0 18 20 42 50 78 132 182 228 278 332 360 368 390 392 410	-1240414725768
SPT(16)	2637515619107855041	0 100 138 166 238 262 286 322 516 552 576 600 672 700 738 838	-804518336296
STPT(10)	2637515808964958639	0 2 48 50 90 92 132 134 180 182	-614661232698
STPT(10)	2637516403151919557	0 2 30 32 72 74 114 116 144 146	-20474271780
SPT(16)	2637516429899829859	0 42 58 72 82 118 120 138 142 160 162 198 208 222 238 280	6273638522
SPT(16)	2637516532813372919	0 18 24 38 44 78 198 224 228 254 374 408 414 428 434 452	109187181582
SPT(16)	2637516603679616531	0 8 26 78 126 132 158 176 192 210 236 242 290 342 360 368	180053425194
SPT(16)	2637516692102751773	0 6 20 26 30 54 84 86 108 110 140 164 168 174 188 194	268476560436
STPT(10)	2637516867408656339	0 2 42 44 120 122 198 200 240 242	443782465002