Prime p₀= 2342355558109682537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2342354227976688721	0 6 12 90 108 130 132 136 252 256 258 280 298 376 382 388	-1330132993816
STPT(10)	2342354363302860131	0 2 36 38 78 80 120 122 156 158	-1194806822406
SPT(16)	2342354712614067169	0 72 88 124 130 142 144 148 204 208 210 222 228 264 280 352	-845495615368
SPT(16)	2342354918917583501	0 122 128 156 176 206 218 228 350 360 372 402 422 450 456 578	-639192099036
STPT(10)	2342355451864942901	0 2 78 80 168 170 258 260 336 338	-106244739636
TPT(14)	2342355467673047327	0 2 54 56 72 74 90 92 132 134 144 146 180 182	-90436635210
STPT(10)	2342355695863224707	0 2 30 32 42 44 54 56 84 86	137753542170
SPT(16)	2342355863163949667	0 104 110 140 144 182 192 206 210 224 234 272 276 306 312 416	305054267130
STPT(10)	2342356006852366847	0 2 24 26 42 44 60 62 84 86	448742684310
SPT(16)	2342356314916972111	0 30 70 88 102 120 148 162 226 240 268 286 300 318 358 388	756807289574
SPT(16)	2342356777269986777	0 20 32 54 102 104 110 122 132 144 150 152 200 222 234 254	1219160304240