Prime p₀= 816429890460101507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG]FX
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	816428784392302909	0 10 22 24 90 112 120 150 172 202 210 232 298 300 312 322	-1106067798598
STPT(12)	816428937976914917	0 2 72 74 90 92 252 254 270 272 342 344	-952483186590
STPT(10)	816428996456380091	0 2 36 38 78 80 120 122 156 158	-894003721416
TPT(14)	816429296644333751	0 2 30 32 36 38 66 68 108 110 156 158 168 170	-593815767756
SPT(16)	816429443446517209	0 4 24 58 72 78 130 144 148 162 214 220 234 268 288 292	-447013584298
SPT(16)	816429475678840841	0 2 6 30 42 68 72 86 252 266 270 296 308 332 336 338	-414781260666
SPT(16)	816430052878202999	0 8 12 32 60 68 78 92 108 122 132 140 168 188 192 200	162418101492
STPT(10)	816430381032308459	0 2 18 20 30 32 42 44 60 62	490572206952
SPT(16)	816430453551215411	0 30 32 68 102 108 116 152 156 192 200 206 240 276 278 308	563091113904
SPT(16)	816430671270801049	0 12 82 84 94 144 154 172 270 288 298 348 358 360 430 442	780810699542
STPT(10)	816431358071488769	0 2 78 80 120 122 162 164 240 242	1467611387262