Prime p₀= 2339744720289383549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2339742419145548843	0 24 60 66 126 140 150 156 158 164 174 188 248 254 290 314	-2301143834706
STPT(10)	2339743018520312747	0 2 24 26 42 44 60 62 84 86	-1701769070802
STPT(10)	2339743922572267241	0 2 30 32 60 62 90 92 120 122	-797717116308
SPT(13)	2339744008955846497	0 6 36 72 120 162 186 210 252 300 336 366 372	-711333537052
TPT(14)	2339744223047643677	0 2 42 44 72 74 102 104 264 266 312 314 324 326	-497241739872
SPT(16)	2339744239493012683	0 28 34 58 64 66 130 148 156 174 238 240 246 270 276 304	-480796370866
SPT(16)	2339745039638221021	0 22 46 48 60 72 112 162 226 276 316 328 340 342 366 388	319348837472
STPT(10)	2339745303873689351	0 2 6 8 48 50 90 92 96 98	583584305802
SPT(16)	2339745404934463787	0 30 32 56 120 122 144 162 164 182 204 206 270 294 296 326	684645080238
SPT(16)	2339746140865945237	0 72 96 142 154 174 184 196 240 252 262 282 294 340 364 436	1420576561688
SPT(16)	2339746405217724817	0 4 34 42 46 66 70 112 174 216 220 240 244 252 282 286	1684928341268