Prime p₀= 2510218765917070457 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2510216367162627637	0 12 16 22 100 126 132 192 250 310 316 342 420 426 430 442	-2398754442820
TPT(14)	2510216778297583541	0 2 30 32 138 140 168 170 240 242 336 338 348 350	-1987619486916
STPT(10)	2510216788799272307	0 2 42 44 72 74 102 104 144 146	-1977117798150
SPT(16)	2510217012333839981	0 2 18 20 42 72 78 90 98 110 116 146 168 170 186 188	-1753583230476
SPT(16)	2510218000350720467	0 20 26 44 92 104 120 126 140 146 162 174 222 240 246 266	-765566349990
SPT(16)	2510218243125040013	0 18 48 68 98 156 210 228 488 506 560 618 648 668 698 716	-522792030444
SPT(16)	2510218856717927057	0 26 30 36 50 54 72 96 110 134 152 156 170 176 180 206	90800856600
SPT(16)	2510218879750575167	0 14 80 116 140 144 146 180 236 270 272 276 300 336 402 416	113833504710
STPT(10)	2510219094412798631	0 2 36 38 78 80 120 122 156 158	328495728174
SPT(16)	2510219487160657549	0 58 70 82 120 132 138 148 222 232 238 250 288 300 312 370	721243587092
STPT(12)	2510219623791538187	0 2 42 44 84 86 240 242 282 284 324 326	857874467730