Prime p₀= 2315767365032526047 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2315766690779218217	0 2 14 32 72 80 104 144 170 210 234 242 282 300 312 314	-674253307830
STPT(10)	2315766857338800947	0 2 54 56 72 74 90 92 144 146	-507693725100
STPT(10)	2315767004471179937	0 2 60 62 72 74 84 86 144 146	-360561346110
STPT(10)	2315767122609806027	0 2 30 32 42 44 54 56 84 86	-242422720020
STPT(10)	2315767253023412861	0 2 30 32 78 80 126 128 156 158	-112009113186
SPT(18)	2315767342178029373	0 20 44 54 60 86 98 116 134 390 408 426 438 464 470 480 504 524	-22854496674
SPT(16)	2315767441354964017	0 54 94 150 172 214 252 262 264 274 312 354 376 432 472 526	76322437970
STPT(10)	2315768129613909071	0 2 6 8 48 50 90 92 96 98	764581383024
SPT(16)	2315768450180127433	0 18 30 40 124 168 178 210 238 270 280 324 408 418 430 448	1085147601386
STPT(10)	2315768491963925357	0 2 72 74 102 104 132 134 204 206	1126931399310
SPT(16)	2315768694112295671	0 46 78 100 120 130 160 162 166 168 198 208 228 250 282 328	1329079769624