Prime p₀= 2167132244020241087 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: [SG-FC] hl
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2167129836928428557	0 26 54 92 120 150 182 264 302 384 416 446 474 512 540 566	-2407091812530
STPT(10)	2167129837007919149	0 2 42 44 60 62 78 80 120 122	-2407012321938
SPT(16)	2167130063695105051	0 28 72 96 118 142 160 196 252 288 306 330 352 376 420 448	-2180325136036
TPT(14)	2167130262516112601	0 2 66 68 180 182 198 200 210 212 246 248 276 278	-1981504128486
STPT(12)	2167130463876388607	0 2 42 44 60 62 114 116 132 134 174 176	-1780143852480
SPT(16)	2167131368138722873	0 18 70 76 108 144 154 174 220 240 250 286 318 324 376 394	-875881518214
SPT(16)	2167132344427641653	0 30 38 98 138 144 210 230 234 254 320 326 366 426 434 464	100407400566
SPT(16)	2167132442137238717	0 14 32 42 102 140 164 180 224 240 264 302 362 372 390 404	198116997630
SPT(16)	2167132660419263951	0 8 30 32 42 50 78 140 240 302 330 338 348 350 372 380	416399022864
SPT(16)	2167132829646249739	0 22 28 30 42 58 88 102 208 222 252 268 280 282 288 310	585626008652
SPT(16)	2167133070652943153	0 54 74 90 96 134 194 204 206 216 276 314 320 336 356 410	826632702066