Prime p₀= 2397366392169714137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	2397364833981914941	0 6 22 36 88 96 102 130 198 226 232 240 292 306 322 328	-1558187799196
SPT(16)	2397365220801957821	0 42 50 56 62 120 132 176 216 260 272 330 336 342 350 392	-1171367756316
SPT(16)	2397365385492517577	0 36 74 144 174 180 200 246 404 450 470 476 506 576 614 650	-1006677196560
STPT(10)	2397365614211905031	0 2 30 32 60 62 90 92 120 122	-777957809106
STPT(10)	2397366339915670997	0 2 30 32 42 44 54 56 84 86	-52254043140
TPT(14)	2397366362665579397	0 2 54 56 72 74 120 122 162 164 204 206 222 224	-29504134740
SPT(16)	2397366395540342929	0 52 54 72 94 114 120 138 334 352 358 378 400 418 420 472	3370628792
STPT(10)	2397366730077460751	0 2 36 38 78 80 120 122 156 158	337907746614
SPT(16)	2397366916174316663	0 54 90 98 108 114 134 170 174 210 230 236 246 254 290 344	524004602526
SPT(16)	2397367656198119183	0 8 14 36 66 90 200 234 260 294 404 428 458 480 486 494	1264028405046
SPT(16)	2397367863178722859	0 10 24 34 54 78 138 154 174 190 250 274 294 304 318 328	1471009008722