Prime p₀= 1339999027028076827 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1339997867013285619	0 18 60 88 118 168 184 234 244 294 310 360 390 418 460 478	-1160014791208
STPT(10)	1339998309288872069	0 2 12 14 90 92 168 170 180 182	-717739204758
SPT(16)	1339998362980279273	0 34 40 124 150 154 178 190 264 276 300 304 330 414 420 454	-664047797554
STPT(10)	1339998376096097657	0 2 30 32 60 62 90 92 120 122	-650931979170
SPT(16)	1339998729631127551	0 18 30 52 66 72 96 100 138 142 166 172 186 208 220 238	-297396949276
STPT(10)	1339998762917356439	0 2 42 44 60 62 78 80 120 122	-264110720388
TPT(14)	1339999307477527451	0 2 60 62 108 110 138 140 186 188 390 392 528 530	280449450624
SPT(16)	1339999796370264871	0 22 28 48 58 88 132 162 196 226 270 300 310 330 336 358	769342188044
STPT(10)	1339999825309153817	0 2 30 32 42 44 54 56 84 86	798281076990
STPT(10)	1340000109132710327	0 2 30 32 42 44 54 56 84 86	1082104633500
STPT(10)	1340000335075435067	0 2 60 62 72 74 84 86 144 146	1308047358240