Prime p₀= 2644010551126891937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: biodoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2644009178514528631	0 70 88 118 136 148 190 192 196 198 240 252 270 300 318 388	-1372612363306
TPT(14)	2644009508402502857	0 2 12 14 42 44 114 116 180 182 192 194 282 284	-1042724389080
SPT(16)	2644009643580680993	0 36 44 56 74 80 114 140 150 176 210 216 234 246 254 290	-907546210944
SPT(16)	2644009682734547573	0 56 116 146 210 260 266 276 284 294 300 350 414 444 504 560	-868392344364
SPT(16)	2644010197721739059	0 12 44 54 80 90 122 162 182 222 254 264 290 300 332 344	-353405152878
SPT(16)	2644010277694914517	0 6 22 30 72 90 112 142 174 204 226 244 286 294 310 316	-273431977420
STPT(12)	2644010600227842257	0 2 60 62 102 104 192 194 234 236 294 296	49100950320
SPT(16)	2644010663337609877	0 6 10 54 82 90 150 160 366 376 436 444 472 516 520 526	112210717940
STPT(10)	2644010693303112737	0 2 90 92 102 104 114 116 204 206	142176220800
SPT(16)	2644010904495303313	0 34 36 78 148 220 300 304 330 334 414 486 556 598 600 634	353368411376
TPT(14)	2644011219125660441	0 2 30 32 66 68 156 158 168 170 180 182 276 278	667998768504