Prime p₀= 816458741972403779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]FX
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	816457972312784621	0 2 78 80 138 140 198 200 276 278	-769659619158
STPT(10)	816458240770369661	0 2 36 38 78 80 120 122 156 158	-501202034118
SPT(16)	816458342666858789	0 14 42 50 62 80 84 122 132 170 174 192 204 212 240 254	-399305544990
STPT(10)	816458369805863957	0 2 30 32 42 44 54 56 84 86	-372166539822
SPT(16)	816458429873094329	0 2 18 44 80 90 114 132 140 158 182 192 228 254 270 272	-312099309450
TPT(14)	816458591765358929	0 2 60 62 78 80 90 92 102 104 132 134 162 164	-150207044850
SPT(16)	816458923269010699	0 10 12 30 34 42 54 60 82 88 100 108 112 130 132 142	181296606920
SPT(18)	816459074088440287	0 16 40 70 72 94 112 150 180 196 226 264 282 304 306 336 360 376	332116036508
STPT(10)	816459208819852649	0 2 18 20 30 32 42 44 60 62	466847448870
SPT(16)	816459379460929969	0 52 72 112 120 150 174 198 274 298 322 352 360 400 420 472	637488526190
TPT(14)	816459403141553291	0 2 96 98 198 200 240 242 246 248 306 308 360 362	661169149512