Prime p₀= 2696448375355492739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2696446538132632583	0 20 48 78 86 104 134 156 158 180 210 228 236 266 294 314	-1837222860156
STPT(10)	2696446820673126317	0 2 30 32 42 44 54 56 84 86	-1554682366422
STPT(10)	2696447233066563719	0 2 78 80 120 122 162 164 240 242	-1142288929020
SPT(16)	2696448027749894827	0 12 16 22 52 70 100 112 120 132 162 180 210 216 220 232	-347605597912
STPT(10)	2696448089991620969	0 2 12 14 90 92 168 170 180 182	-285363871770
STPT(10)	2696448291296437157	0 2 30 32 42 44 54 56 84 86	-84059055582
TPT(14)	2696448596716246829	0 2 18 20 30 32 72 74 78 80 90 92 132 134	221360754090
STPT(10)	2696449163521450031	0 2 30 32 78 80 126 128 156 158	788165957292
SPT(16)	2696449766690575177	0 36 42 52 90 132 150 172 174 196 214 256 294 304 310 346	1391335082438
SPT(16)	2696449862897470949	0 8 38 62 120 164 188 198 224 234 258 302 360 384 414 422	1487541978210
STPT(10)	2696449983671998901	0 2 6 8 48 50 90 92 96 98	1608316506162