Prime p₀= 2766048394454010737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2766047066219468321	0 2 36 38 168 170 300 302 336 338	-1328234542416
STPT(10)	2766047097889715609	0 2 12 14 30 32 48 50 60 62	-1296564295128
SPT(16)	2766047131611696511	0 22 42 46 76 82 138 148 150 160 216 222 252 256 276 298	-1262842314226
SPT(16)	2766047563879405277	0 62 66 90 96 134 164 174 182 192 222 260 266 290 294 356	-830574605460
STPT(10)	2766047954348598221	0 2 30 32 78 80 126 128 156 158	-440105412516
STPT(10)	2766048266328865487	0 2 30 32 72 74 114 116 144 146	-128125145250
SPT(16)	2766048596492607221	0 12 38 56 90 92 110 122 246 258 276 278 312 330 356 368	202038596484
STPT(10)	2766048615471111557	0 2 30 32 72 74 114 116 144 146	221017100820
STPT(10)	2766048727378450781	0 2 36 38 78 80 120 122 156 158	332924440044
STPT(10)	2766049183366277441	0 2 6 8 48 50 90 92 96 98	788912266704
SPT(16)	2766049250875909723	0 28 54 60 154 180 208 270 334 396 424 450 544 550 576 604	856421898986