Prime p₀= 816430381032308459 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)	816428996456380091	0 2 36 38 78 80 120 122 156 158	-1384575928368
TPT(14)	816429296644333751	0 2 30 32 36 38 66 68 108 110 156 158 168 170	-1084387974708
SPT(16)	816429443446517209	0 4 24 58 72 78 130 144 148 162 214 220 234 268 288 292	-937585791250
SPT(16)	816429475678840841	0 2 6 30 42 68 72 86 252 266 270 296 308 332 336 338	-905353467618
STPT(10)	816429890460101507	0 2 42 44 72 74 102 104 144 146	-490572206952
SPT(16)	816430052878202999	0 8 12 32 60 68 78 92 108 122 132 140 168 188 192 200	-328154105460
SPT(16)	816430453551215411	0 30 32 68 102 108 116 152 156 192 200 206 240 276 278 308	72518906952
SPT(16)	816430671270801049	0 12 82 84 94 144 154 172 270 288 298 348 358 360 430 442	290238492590
STPT(10)	816431358071488769	0 2 78 80 120 122 162 164 240 242	977039180310
STPT(10)	816431978383725749	0 2 42 44 90 92 138 140 180 182	1597351417290
STPT(10)	816432080242698767	0 2 12 14 42 44 72 74 84 86	1699210390308