Prime p₀= 2679642296630805641 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2679641299399619879	0 2 42 44 60 62 78 80 120 122	-997231185762
SPT(16)	2679641517074088607	0 24 42 76 106 144 150 172 234 256 262 300 330 364 382 406	-779556717034
STPT(10)	2679642153619932197	0 2 12 14 72 74 132 134 144 146	-143010873444
SPT(16)	2679642217100268559	0 18 42 102 150 208 222 262 300 340 354 412 460 520 544 562	-79530537082
STPT(12)	2679642245806634489	0 2 12 14 42 44 78 80 108 110 120 122	-50824171152
STPT(10)	2679642275971749887	0 2 30 32 42 44 54 56 84 86	-20659055754
SPT(16)	2679642414722659049	0 42 60 122 152 158 170 188 192 210 222 228 258 320 338 380	118091853408
TPT(14)	2679642438282022061	0 2 30 32 78 80 120 122 156 158 186 188 258 260	141651216420
SPT(16)	2679642514510637153	0 14 18 24 84 90 114 164 210 260 284 290 350 356 360 374	217879831512
STPT(10)	2679642537910555907	0 2 30 32 42 44 54 56 84 86	241279750266
SPT(16)	2679642559017436007	0 2 50 56 66 72 92 114 182 204 224 230 240 246 294 296	262386630366