Prime p₀= 816400953010329719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG]FX
db: batch=73, k=10, 2 46 2 40 2

SPT(16)	816400063051482677	0 6 50 84 132 144 152 204 242 294 302 314 362 396 440 446	-889958847042
SPT(16)	816400272357075127	0 22 52 60 102 120 156 186 196 226 262 280 322 330 360 382	-680653254592
STPT(10)	816400284032883371	0 2 6 8 48 50 90 92 96 98	-668977446348
SPT(16)	816400295791260113	0 6 14 96 150 194 234 264 266 296 336 380 434 516 524 530	-657219069606
STPT(10)	816400886232127697	0 2 54 56 72 74 90 92 144 146	-66778202022
SPT(16)	816400915046373317	0 14 50 66 72 84 90 206 300 416 422 434 440 456 492 506	-37963956402
STPT(10)	816401006831750687	0 2 12 14 42 44 72 74 84 86	53821420968
SPT(16)	816401089752984049	0 28 34 88 90 112 118 124 138 144 150 172 174 228 234 262	136742654330
STPT(10)	816401479209477617	0 2 30 32 42 44 54 56 84 86	526199147898
TPT(14)	816401492785211867	0 2 144 146 210 212 282 284 312 314 342 344 354 356	539774882148
STPT(10)	816401495672808581	0 2 6 8 48 50 90 92 96 98	542662478862