Prime p₀= 2117637909572316977 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: matsu_pl
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2117636498729014919	0 78 90 104 132 162 264 302 360 398 500 530 558 572 584 662	-1410843302058
STPT(12)	2117636587118690567	0 2 12 14 72 74 150 152 210 212 222 224	-1322453626410
TPT(14)	2117636937351995909	0 2 42 44 78 80 120 122 168 170 222 224 252 254	-972220321068
TPT(14)	2117637002412115139	0 2 48 50 60 62 72 74 132 134 198 200 222 224	-907160201838
STPT(10)	2117637168502586567	0 2 12 14 72 74 132 134 144 146	-741069730410
SPT(16)	2117637765035411851	0 46 66 70 82 100 102 108 130 136 138 156 168 172 192 238	-144536905126
SPT(16)	2117637939548737733	0 14 50 54 56 66 84 86 108 110 128 138 140 144 180 194	29976420756
STPT(10)	2117638321824525737	0 2 30 32 42 44 54 56 84 86	412252208760
SPT(16)	2117638455815759053	0 36 100 130 144 178 204 210 214 220 246 280 294 324 388 424	546243442076
SPT(16)	2117638591444298243	0 84 110 138 150 188 210 228 230 248 270 308 320 348 374 458	681871981266
STPT(10)	2117639422818477167	0 2 30 32 42 44 54 56 84 86	1513246160190