Prime p₀= 1411830397838824277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: rlacr
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1411828423229654293	0 24 34 66 90 106 108 120 154 166 168 184 208 240 250 274	-1974609169984
STPT(10)	1411828513412572811	0 2 6 8 48 50 90 92 96 98	-1884426251466
SPT(16)	1411828611496198541	0 18 42 162 176 198 210 216 242 248 260 282 296 416 440 458	-1786342625736
STPT(10)	1411828666032235049	0 2 18 20 30 32 42 44 60 62	-1731806589228
SPT(16)	1411828974837479567	0 26 102 134 162 176 186 222 224 260 270 284 312 344 420 446	-1423001344710
SPT(16)	1411829960465706443	0 56 74 128 134 186 194 210 254 270 278 330 336 390 408 464	-437373117834
STPT(10)	1411830471172008989	0 2 48 50 90 92 132 134 180 182	73333184712
STPT(10)	1411831424380920857	0 2 30 32 42 44 54 56 84 86	1026542096580
STPT(10)	1411831765855794461	0 2 6 8 48 50 90 92 96 98	1368016970184
STPT(10)	1411832314020744191	0 2 36 38 78 80 120 122 156 158	1916181919914
SPT(16)	1411832347192641923	0 6 66 90 104 170 174 198 206 230 234 300 314 338 398 404	1949353817646