Prime p₀= 2776068641780035289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: JayPi
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2776067097951060203	0 14 24 80 96 134 156 170 174 188 210 248 264 320 330 344	-1543828975086
STPT(12)	2776067804486051849	0 2 42 44 90 92 132 134 180 182 222 224	-837293983440
SPT(16)	2776068188214904241	0 50 60 96 116 152 156 176 246 266 270 306 326 362 372 422	-453565131048
STPT(10)	2776068400455009629	0 2 12 14 30 32 48 50 60 62	-241325025660
STPT(10)	2776068503024295287	0 2 30 32 42 44 54 56 84 86	-138755740002
STPT(10)	2776068622624124159	0 2 12 14 90 92 168 170 180 182	-19155911130
SPT(16)	2776068858648221783	0 20 26 30 38 110 126 194 210 278 294 366 374 378 384 404	216868186494
SPT(16)	2776069010325631303	0 6 64 70 78 100 108 136 138 166 174 196 204 210 268 274	368545596014
SPT(16)	2776069076683763243	0 38 48 66 74 80 104 116 168 180 204 210 218 236 246 284	434903727954
STPT(10)	2776069338985700081	0 2 30 32 78 80 126 128 156 158	697205664792
SPT(16)	2776069989445918261	0 40 42 48 90 106 136 148 180 192 222 238 280 286 288 328	1347665882972