Prime p₀= 1814178654638273657 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: [AF>Libristes] Davlabedave
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1814176513957268869	0 24 58 88 100 108 118 144 184 210 220 228 240 270 304 328	-2140681004788
SPT(16)	1814176961227410233	0 20 24 98 104 110 164 258 290 384 438 444 450 524 528 548	-1693410863424
STPT(10)	1814177236120646741	0 2 36 38 78 80 120 122 156 158	-1418517626916
TPT(14)	1814177620868581427	0 2 264 266 294 296 312 314 420 422 480 482 510 512	-1033769692230
TPT(14)	1814177714247409757	0 2 30 32 42 44 114 116 252 254 264 266 360 362	-940390863900
STPT(10)	1814178618942122087	0 2 30 32 72 74 114 116 144 146	-35696151570
STPT(10)	1814178718365565817	0 2 42 44 72 74 102 104 144 146	63727292160
STPT(10)	1814178876631292159	0 2 18 20 30 32 42 44 60 62	221993018502
SPT(16)	1814179152879014279	0 2 12 42 68 80 108 140 150 182 210 222 248 278 288 290	498240740622
STPT(10)	1814179367069744501	0 2 30 32 78 80 126 128 156 158	712431470844
STPT(10)	1814179556120681927	0 2 72 74 102 104 132 134 204 206	901482408270