Prime p₀= 2162767705260477347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 82 2 46 2

STPT(10)	2162766841022786819	0 2 18 20 30 32 42 44 60 62	-864237690528
SPT(18)	2162766882122799643	0 40 64 88 106 118 124 144 166 168 190 210 216 228 246 270 294 334	-823137677704
SPT(16)	2162766925193149133	0 8 68 78 104 146 176 200 204 228 258 300 326 336 396 404	-780067328214
SPT(16)	2162767018847759213	0 8 24 26 66 74 80 96 308 324 330 338 378 380 396 404	-686412718134
TPT(14)	2162767202922860921	0 2 30 32 48 50 78 80 126 128 186 188 228 230	-502337616426
SPT(16)	2162767458613161161	0 12 48 72 90 110 158 170 210 222 270 290 308 332 368 380	-246647316186
STPT(12)	2162767808830887287	0 2 42 44 54 56 150 152 162 164 204 206	103570409940
STPT(10)	2162768254457799797	0 2 12 14 42 44 72 74 84 86	549197322450
SPT(16)	2162768367809933647	0 4 24 36 60 106 112 126 130 144 150 196 220 232 252 256	662549456300
SPT(16)	2162768387907937661	0 12 38 62 66 80 126 150 218 242 288 302 306 330 356 368	682647460314
STPT(10)	2162768741782366967	0 2 12 14 42 44 72 74 84 86	1036521889620