Prime p₀= 2159704896178438751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2159703574568190407	0 26 32 42 54 72 164 170 306 312 404 422 434 444 450 476	-1321610248344
SPT(16)	2159703858440607629	0 12 20 54 68 78 138 194 198 254 314 324 338 372 380 392	-1037737831122
STPT(10)	2159704192347257999	0 2 18 20 60 62 102 104 120 122	-703831180752
STPT(10)	2159704287013696781	0 2 120 122 138 140 156 158 276 278	-609164741970
STPT(10)	2159704693455599999	0 2 42 44 60 62 78 80 120 122	-202722838752
STPT(10)	2159704881038699609	0 2 18 20 30 32 42 44 60 62	-15139739142
STPT(10)	2159704957858477199	0 2 18 20 30 32 42 44 60 62	61680038448
SPT(16)	2159705255060485651	0 28 30 96 100 192 198 208 210 220 226 318 322 388 390 418	358882046900
SPT(16)	2159705588758192577	0 14 36 102 114 116 152 156 200 204 240 242 254 320 342 356	692579753826
SPT(16)	2159705780913335129	0 24 54 60 72 74 144 212 222 290 360 362 374 380 410 434	884734896378
TPT(14)	2159706086398850447	0 2 54 56 120 122 150 152 204 206 360 362 402 404	1190220411696