Prime p₀= 2688045147850354067 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)	2688043308010242613	0 6 16 30 100 120 126 144 226 244 250 270 340 354 364 370	-1839840111454
STPT(10)	2688044143312674071	0 2 30 32 78 80 126 128 156 158	-1004537679996
STPT(10)	2688044213923075361	0 2 6 8 48 50 90 92 96 98	-933927278706
STPT(10)	2688044507270475719	0 2 42 44 60 62 78 80 120 122	-640579878348
STPT(10)	2688045020064731051	0 2 6 8 48 50 90 92 96 98	-127785623016
SPT(16)	2688045069333072487	0 12 22 24 42 84 106 136 210 240 262 304 322 324 334 346	-78517281580
STPT(10)	2688045214980140831	0 2 6 8 48 50 90 92 96 98	67129786764
SPT(16)	2688045279167308253	0 18 36 84 90 140 144 146 198 200 204 254 260 308 326 344	131316954186
TPT(14)	2688045299916042401	0 2 18 20 30 32 60 62 96 98 126 128 156 158	152065688334
SPT(16)	2688045393489860861	0 20 156 212 216 228 240 246 392 398 410 422 426 482 618 638	245639506794
STPT(10)	2688045405176032511	0 2 30 32 78 80 126 128 156 158	257325678444