Prime p₀= 2479563417757672187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: Coleslaw
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2479562276859130139	0 20 42 84 120 140 144 158 204 218 222 242 278 320 342 362	-1140898542048
SPT(16)	2479562559339007529	0 74 92 102 104 140 162 170 204 212 234 270 272 282 300 374	-858418664658
TPT(14)	2479562700186430511	0 2 48 50 120 122 186 188 198 200 228 230 438 440	-717571241676
SPT(16)	2479562753906674441	0 12 22 40 52 82 106 148 180 222 246 276 288 306 316 328	-663850997746
STPT(10)	2479563122827162049	0 2 18 20 30 32 42 44 60 62	-294930510138
SPT(16)	2479563172623033881	0 38 72 80 128 138 158 168 182 192 212 222 270 278 312 350	-245134638306
STPT(10)	2479563674422783979	0 2 30 32 60 62 90 92 120 122	256665111792
SPT(16)	2479563860282670781	0 36 78 102 138 142 148 222 256 330 336 340 376 400 442 478	442524998594
STPT(10)	2479563877014869387	0 2 30 32 42 44 54 56 84 86	459257197200
SPT(16)	2479564128211325959	0 52 72 90 124 154 160 172 222 234 240 270 304 322 342 394	710453653772
STPT(10)	2479564510445260001	0 2 30 32 78 80 126 128 156 158	1092687587814