Prime p₀= 2623737688165932419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2623736565011978569	0 10 40 70 84 108 132 138 154 160 184 208 222 252 282 292	-1123153953850
STPT(10)	2623736611648027397	0 2 30 32 42 44 54 56 84 86	-1076517905022
SPT(16)	2623736748746713727	0 56 92 96 140 144 240 282 374 416 512 516 560 564 600 656	-939419218692
SPT(16)	2623736794997352691	0 10 30 42 48 70 88 90 178 180 198 220 226 238 258 268	-893168579728
SPT(16)	2623736890099784003	0 6 24 26 56 86 96 140 180 224 234 264 294 296 314 320	-798066148416
STPT(10)	2623737155899293521	0 2 6 8 48 50 90 92 96 98	-532266638898
STPT(10)	2623737820974247331	0 2 6 8 48 50 90 92 96 98	132808314912
TPT(14)	2623738215267920477	0 2 42 44 72 74 150 152 180 182 192 194 270 272	527101988058
TPT(14)	2623738370642131079	0 2 120 122 138 140 150 152 252 254 318 320 432 434	682476198660
SPT(16)	2623738474541582417	0 140 174 200 222 224 246 266 270 290 312 314 336 362 396 536	786375649998
SPT(16)	2623738662235836517	0 22 42 82 102 126 130 142 150 162 166 190 210 250 270 292	974069904098