Prime p₀= 800377079580272837 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: schoussi
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	800375238623561509	0 58 88 112 130 168 174 184 198 208 214 252 270 294 324 382	-1840956711328
TPT(14)	800376259134478679	0 2 72 74 90 92 102 104 120 122 168 170 252 254	-820445794158
SPT(16)	800376548506238731	0 40 70 108 136 172 196 210 268 282 306 342 370 408 438 478	-531074034106
TPT(14)	800376595259617931	0 2 18 20 36 38 78 80 90 92 126 128 228 230	-484320654906
SPT(16)	800376809751322189	0 42 58 94 102 172 180 190 312 322 330 400 408 444 460 502	-269828950648
SPT(16)	800376886194939871	0 6 48 130 142 178 198 268 270 340 360 396 408 490 532 538	-193385332966
TPT(14)	800377167576031061	0 2 30 32 78 80 126 128 210 212 228 230 240 242	87995758224
STPT(10)	800377178099677427	0 2 12 14 42 44 72 74 84 86	98519404590
STPT(10)	800377346091345689	0 2 18 20 30 32 42 44 60 62	266511072852
SPT(16)	800377554379104049	0 24 34 82 108 160 168 174 208 214 222 274 300 348 358 382	474798831212
SPT(16)	800377622481746707	0 10 24 76 82 112 166 216 220 270 324 354 360 412 426 436	542901473870