Prime p₀= 2160031686399199307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(18)	2160031156071055307	0 20 50 96 102 122 176 200 266 270 336 360 414 434 440 486 516 536	-530328144000
SPT(16)	2160031161480117631	0 6 28 60 70 90 136 150 286 300 346 366 376 408 430 436	-524919081676
TPT(14)	2160031173136472189	0 2 12 14 30 32 108 110 222 224 360 362 378 380	-513262727118
SPT(16)	2160031462950439153	0 34 64 70 126 130 144 160 204 220 234 238 294 300 330 364	-223448760154
STPT(10)	2160031554752022629	0 2 18 20 30 32 42 44 60 62	-131647176678
SPT(16)	2160031625078514959	0 18 44 84 122 150 182 198 254 270 302 330 368 408 434 452	-61320684348
SPT(16)	2160031919508915157	0 10 24 82 124 142 154 184 192 222 234 252 294 352 366 376	233109715850
TPT(14)	2160032000565730409	0 2 30 32 72 74 150 152 180 182 198 200 240 242	314166531102
SPT(16)	2160032133653322917	0 32 104 146 176 200 266 296 300 330 396 420 450 492 564 596	447254123610
SPT(16)	2160032245458203507	0 20 26 150 216 234 264 270 320 326 356 374 440 564 570 590	559059004200
SPT(16)	2160032476713329489	0 14 18 38 68 78 144 194 258 308 374 384 414 434 438 452	790314130182