Prime p₀= 2341431636063065627 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)	2341429263875946701	0 56 66 80 90 108 140 146 162 168 200 218 228 242 252 308	-2372187118926
STPT(10)	2341429958378285777	0 2 30 32 60 62 90 92 120 122	-1677684779850
STPT(10)	2341431155260810799	0 2 18 20 30 32 42 44 60 62	-480802254828
TPT(14)	2341431320027771771	0 2 18 20 48 50 120 122 216 218 330 332 426 428	-316035293856
SPT(16)	2341431397019305081	0 30 46 58 78 88 166 186 190 210 288 298 318 330 346 376	-239043760546
SPT(16)	2341431580982768711	0 26 42 56 62 72 120 126 176 182 230 240 246 260 276 302	-55080296916
SPT(16)	2341431693456982283	0 6 24 50 78 84 98 126 128 156 170 176 204 230 248 254	57393916656
SPT(16)	2341431771573442411	0 28 36 40 78 132 136 210 328 402 406 460 498 502 510 538	135510376784
SPT(16)	2341432146215856137	0 14 56 66 90 110 132 152 204 224 246 266 290 300 342 356	510152790510
TPT(14)	2341432452264323879	0 2 138 140 198 200 312 314 390 392 402 404 420 422	816201258252
STPT(10)	2341432648214453399	0 2 48 50 90 92 132 134 180 182	1012151387772