Prime p₀= 2683176679357879277 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: biodoc
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2683176245877760621	0 6 72 76 88 102 106 150 238 282 286 300 312 316 382 388	-433480118656
SPT(16)	2683176258367777429	0 34 82 88 102 112 118 130 162 174 180 190 204 210 258 292	-420990101848
SPT(16)	2683176302208674801	0 6 42 48 86 90 92 128 180 216 218 222 260 266 302 308	-377149204476
SPT(16)	2683176319875500431	0 12 30 36 100 136 142 202 240 300 306 342 406 412 430 442	-359482378846
SPT(16)	2683176383356016633	0 24 38 54 114 126 138 176 198 236 248 260 320 336 350 374	-296001862644
SPT(16)	2683176653355723103	0 10 18 78 126 166 168 190 234 256 258 298 346 406 414 424	-26002156174
STPT(10)	2683177275026084531	0 2 30 32 78 80 126 128 156 158	595668205254
STPT(10)	2683177378995780761	0 2 6 8 48 50 90 92 96 98	699637901484
STPT(12)	2683177391108477189	0 2 12 14 42 44 180 182 210 212 222 224	711750597912
SPT(16)	2683177584405189073	0 28 34 100 124 138 154 166 168 180 196 210 234 300 306 334	905047309796
STPT(10)	2683178331828674159	0 2 18 20 30 32 42 44 60 62	1652470794882