Prime p₀= 2628968585880455627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: raddoc
db: batch=82, k=10, 2 82 2 46 2

SPT(16)	2628966576936398879	0 14 38 42 50 60 74 108 134 168 182 192 200 204 228 242	-2008944056748
SPT(16)	2628966616759244497	0 30 36 42 46 72 106 142 150 186 220 246 250 256 262 292	-1969121211130
TPT(14)	2628966626059896179	0 2 30 32 78 80 168 170 180 182 192 194 198 200	-1959820559448
STPT(10)	2628967419006386147	0 2 30 32 42 44 54 56 84 86	-1166874069480
STPT(12)	2628967439463492131	0 2 30 32 90 92 96 98 156 158 186 188	-1146416963496
SPT(16)	2628967974877811243	0 6 8 78 120 134 174 228 266 320 360 374 416 486 488 494	-611002644384
SPT(16)	2628968603671227073	0 34 40 46 70 100 114 174 196 256 270 300 324 330 336 370	17790771446
TPT(14)	2628968816729433719	0 2 72 74 90 92 102 104 162 164 210 212 288 290	230848978092
SPT(16)	2628968858571774263	0 48 54 68 74 98 108 116 138 146 156 180 186 200 206 254	272691318636
STPT(10)	2628969082479579839	0 2 18 20 30 32 42 44 60 62	496599124212
SPT(16)	2628969171129800519	0 14 18 60 62 108 122 128 144 150 164 210 212 254 258 272	585249344892