Prime p₀= 3001588366848887909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	3001585063997931287	0 2 30 32 60 62 90 92 120 122	-3302850956622
STPT(10)	3001585354602782147	0 2 12 14 72 74 132 134 144 146	-3012246105762
SPT(16)	3001585695991032001	0 12 42 88 90 96 196 286 342 432 532 538 540 586 616 628	-2670857855908
STPT(10)	3001586269295657801	0 2 6 8 18 20 30 32 36 38	-2097553230108
STPT(10)	3001588065233190029	0 2 18 20 60 62 102 104 120 122	-301615697880
SPT(16)	3001588247589455539	0 4 54 70 82 88 108 124 198 214 234 240 252 268 318 322	-119259432370
SPT(16)	3001589135857758041	0 30 60 72 116 138 140 162 176 198 200 222 266 278 308 338	769008870132
SPT(16)	3001589158643129801	0 8 18 42 66 132 146 182 186 222 236 302 326 350 360 368	791794241892
SPT(16)	3001589262344819977	0 12 42 52 112 162 172 190 336 354 364 414 474 484 514 526	895495932068
STPT(10)	3001589288515418927	0 2 30 32 42 44 54 56 84 86	921666531018
TPT(14)	3001589305823995331	0 2 30 32 126 128 156 158 168 170 228 230 258 260	938975107422