Prime p₀= 2710248037962665927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2710246838645698867	0 6 12 34 36 40 82 196 210 324 366 370 372 394 400 406	-1199316967060
STPT(10)	2710246996123036397	0 2 24 26 42 44 60 62 84 86	-1041839629530
SPT(16)	2710247144085132089	0 32 42 44 54 78 110 128 144 162 194 218 228 230 240 272	-893877533838
STPT(10)	2710247484112355399	0 2 42 44 60 62 78 80 120 122	-553850310528
SPT(16)	2710247647292218367	0 20 42 80 92 104 122 162 314 354 372 384 396 434 456 476	-390670447560
SPT(16)	2710247816057535937	0 36 40 42 54 66 102 154 162 214 250 262 274 276 280 316	-221905129990
SPT(16)	2710248262148537881	0 28 30 66 96 106 112 190 228 306 312 322 352 388 390 418	224185871954
STPT(10)	2710248633092255417	0 2 30 32 42 44 54 56 84 86	595129589490
TPT(14)	2710248639977342249	0 2 60 62 78 80 90 92 120 122 162 164 240 242	602014676322
SPT(16)	2710248720093697213	0 30 36 96 148 168 186 198 238 250 268 288 340 400 406 436	682131031286
STPT(10)	2710248829612870409	0 2 48 50 90 92 132 134 180 182	791650204482