Prime p₀= 2306804938453615667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Landjunge
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2306803533520528351	0 12 46 58 70 72 108 112 126 130 166 168 180 192 226 238	-1404933087316
SPT(16)	2306804014943962273	0 34 64 106 120 124 136 154 186 204 216 220 234 276 306 340	-923509653394
STPT(10)	2306804392053930887	0 2 24 26 42 44 60 62 84 86	-546399684780
STPT(10)	2306804511585818639	0 2 48 50 90 92 132 134 180 182	-426867797028
STPT(12)	2306804752659443039	0 2 12 14 42 44 48 50 78 80 90 92	-185794172628
SPT(16)	2306804866737365039	0 50 68 78 80 84 110 134 138 162 188 192 194 204 222 272	-71716250628
STPT(10)	2306805289117672799	0 2 78 80 120 122 162 164 240 242	350664057132
SPT(16)	2306805293700552833	0 6 74 80 108 126 144 146 168 170 188 206 234 240 308 314	355246937166
SPT(16)	2306805440282337277	0 10 24 52 64 100 154 192 202 240 294 330 342 370 384 394	501828721610
SPT(16)	2306805725240105533	0 34 58 70 78 94 138 160 198 220 264 280 288 300 324 358	786786489866
STPT(10)	2306806673749723919	0 2 42 44 90 92 138 140 180 182	1735296108252