Prime p₀= 4092877676313514271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [AF] Kalianthys
db: batch=84, k=10, 2 64 2 70 2

SPT(16)	4092875930362289113	0 24 58 66 70 108 124 136 168 180 196 234 238 246 280 304	-1745951225158
SPT(16)	4092876103034135047	0 12 36 42 96 112 114 166 210 262 264 280 334 340 364 376	-1573279379224
STPT(10)	4092876544529591417	0 2 30 32 42 44 54 56 84 86	-1131783922854
SPT(13)	4092877152863916541	0 12 48 90 108 132 150 168 192 210 252 288 300	-523449597730
SPT(16)	4092877231760464657	0 12 34 70 100 136 154 156 220 222 240 276 306 342 364 376	-444553049614
SPT(16)	4092877554047943043	0 40 60 76 78 84 88 94 120 126 130 136 138 154 174 214	-122265571228
SPT(16)	4092877939095946547	0 30 72 84 152 176 180 222 224 266 270 294 362 374 416 446	262782432276
STPT(10)	4092878082272964029	0 2 42 44 90 92 138 140 180 182	405959449758
SPT(18)	4092878123451816679	0 22 94 100 138 180 184 190 204 298 312 318 322 364 402 408 480 502	447138302408
SPT(16)	4092878498526301109	0 14 20 30 54 80 134 140 162 168 222 248 272 282 288 302	822212786838
STPT(10)	4092878652271694531	0 2 36 38 78 80 120 122 156 158	975958180260