Prime p₀= 2766048615471111557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2766047131611696511	0 22 42 46 76 82 138 148 150 160 216 222 252 256 276 298	-1483859415046
SPT(16)	2766047563879405277	0 62 66 90 96 134 164 174 182 192 222 260 266 290 294 356	-1051591706280
STPT(10)	2766047954348598221	0 2 30 32 78 80 126 128 156 158	-661122513336
STPT(10)	2766048266328865487	0 2 30 32 72 74 114 116 144 146	-349142246070
STPT(10)	2766048394454010737	0 2 30 32 42 44 54 56 84 86	-221017100820
SPT(16)	2766048596492607221	0 12 38 56 90 92 110 122 246 258 276 278 312 330 356 368	-18978504336
STPT(10)	2766048727378450781	0 2 36 38 78 80 120 122 156 158	111907339224
STPT(10)	2766049183366277441	0 2 6 8 48 50 90 92 96 98	567895165884
SPT(16)	2766049250875909723	0 28 54 60 154 180 208 270 334 396 424 450 544 550 576 604	635404798166
STPT(10)	2766049274618489747	0 2 30 32 42 44 54 56 84 86	659147378190
STPT(10)	2766049485206524871	0 2 6 8 48 50 90 92 96 98	869735413314