Prime p₀= 2799122003990101817 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2799120685281142843	0 10 60 66 76 90 126 150 154 178 214 228 238 244 294 304	-1318708958974
STPT(10)	2799120838909838867	0 2 54 56 72 74 90 92 144 146	-1165080262950
STPT(10)	2799120940857447329	0 2 12 14 30 32 48 50 60 62	-1063132654488
SPT(16)	2799121016289717061	0 40 70 88 108 118 126 138 208 220 228 238 258 276 306 346	-987700384756
SPT(16)	2799121492372359571	0 30 42 46 82 198 222 226 252 256 280 396 432 436 448 478	-511617742246
SPT(16)	2799121969185543689	0 2 44 62 72 78 80 90 122 132 134 140 150 168 210 212	-34804558128
STPT(10)	2799122395249870379	0 2 18 20 30 32 42 44 60 62	391259768562
SPT(16)	2799122563698037867	0 16 66 82 114 120 162 166 180 184 226 232 264 280 330 346	559707936050
STPT(10)	2799123305864791229	0 2 42 44 60 62 78 80 120 122	1301874689412
SPT(16)	2799123403160229799	0 10 24 54 154 162 198 208 264 274 310 318 418 448 462 472	1399170127982
STPT(10)	2799123568488732311	0 2 30 32 78 80 126 128 156 158	1564498630494