Prime p₀= 2776068400455009629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2776066071454669927	0 22 36 42 70 90 124 136 150 162 196 216 244 250 264 286	-2329000339702
SPT(16)	2776066142829565951	0 72 82 96 100 150 166 192 226 252 268 318 322 336 346 418	-2257625443678
STPT(10)	2776066878585363089	0 2 150 152 210 212 270 272 420 422	-1521869646540
SPT(16)	2776067097951060203	0 14 24 80 96 134 156 170 174 188 210 248 264 320 330 344	-1302503949426
STPT(12)	2776067804486051849	0 2 42 44 90 92 132 134 180 182 222 224	-595968957780
SPT(16)	2776068188214904241	0 50 60 96 116 152 156 176 246 266 270 306 326 362 372 422	-212240105388
STPT(10)	2776068503024295287	0 2 30 32 42 44 54 56 84 86	102569285658
STPT(10)	2776068622624124159	0 2 12 14 90 92 168 170 180 182	222169114530
STPT(10)	2776068641780035289	0 2 78 80 120 122 162 164 240 242	241325025660
SPT(16)	2776068858648221783	0 20 26 30 38 110 126 194 210 278 294 366 374 378 384 404	458193212154
SPT(16)	2776069010325631303	0 6 64 70 78 100 108 136 138 166 174 196 204 210 268 274	609870621674