Prime p₀= 2623059828003258377 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: RFGuy_KCCO
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2623058820579860227	0 10 22 24 34 60 70 94 120 144 154 180 190 192 204 214	-1007423398150
STPT(10)	2623058823157047557	0 2 42 44 72 74 102 104 144 146	-1004846210820
SPT(16)	2623059090386101091	0 2 26 116 216 240 270 278 300 308 338 362 462 552 576 578	-737617157286
STPT(10)	2623059334549742441	0 2 78 80 108 110 138 140 216 218	-493453515936
SPT(16)	2623059363667467983	0 68 86 96 104 168 174 206 258 290 296 360 368 378 396 464	-464335790394
SPT(16)	2623059489611481559	0 18 90 112 144 150 184 198 214 228 262 268 300 322 394 412	-338391776818
STPT(10)	2623059853516527587	0 2 30 32 42 44 54 56 84 86	25513269210
STPT(10)	2623060261641948977	0 2 30 32 60 62 90 92 120 122	433638690600
STPT(12)	2623060498257368231	0 2 30 32 60 62 108 110 138 140 168 170	670254109854
STPT(10)	2623060569353681459	0 2 30 32 60 62 90 92 120 122	741350423082
SPT(13)	2623060611455616053	0 18 24 54 78 138 144 150 210 234 264 270 288	783452357676