Prime p₀= 2338733009127337577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2338732489927162949	0 2 12 14 90 92 168 170 180 182	-519200174628
SPT(16)	2338732539178971259	0 18 24 102 130 132 190 192 280 282 340 342 370 448 454 472	-469948366318
SPT(16)	2338732633572994667	0 12 32 50 56 72 92 134 162 204 224 240 246 264 284 296	-375554342910
STPT(10)	2338732846591728407	0 2 60 62 72 74 84 86 144 146	-162535609170
TPT(14)	2338732870514035769	0 2 90 92 180 182 222 224 228 230 270 272 300 302	-138613301808
SPT(16)	2338732994936285053	0 46 58 94 130 144 166 178 186 198 220 234 270 306 318 364	-14191052524
STPT(10)	2338733042593657469	0 2 48 50 90 92 132 134 180 182	33466319892
SPT(16)	2338733165723455667	0 12 14 134 140 150 152 176 180 204 206 216 222 342 344 356	156596118090
SPT(16)	2338733249989762201	0 30 36 58 72 102 108 136 162 190 196 226 240 262 268 298	240862424624
STPT(10)	2338733324468927171	0 2 30 32 78 80 126 128 156 158	315341589594
STPT(10)	2338733412116675417	0 2 30 32 42 44 54 56 84 86	402989337840