Prime p₀= 2358978711015341711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2358977744748306151	0 22 82 172 220 238 250 298 330 378 390 408 456 546 606 628	-966267035560
SPT(16)	2358978025376294701	0 18 46 60 100 120 130 142 156 168 178 198 238 252 280 298	-685639047010
TPT(14)	2358978028684049807	0 2 24 26 60 62 102 104 144 146 210 212 312 314	-682331291904
SPT(16)	2358978058442865851	0 56 62 66 80 110 140 192 206 258 288 318 332 336 342 398	-652572475860
STPT(10)	2358978162207733247	0 2 24 26 42 44 60 62 84 86	-548807608464
SPT(16)	2358978532248296977	0 22 30 72 102 142 156 166 186 196 210 250 280 322 330 352	-178767044734
SPT(16)	2358978755297703577	0 16 52 82 106 112 126 166 180 220 234 240 264 294 330 346	44282361866
STPT(10)	2358978936043810019	0 2 18 20 30 32 42 44 60 62	225028468308
SPT(16)	2358978989323901569	0 10 52 60 78 88 100 130 132 162 174 184 202 210 252 262	278308559858
SPT(16)	2358979241513844589	0 30 34 48 52 82 94 112 120 138 150 180 184 198 202 232	530498502878
STPT(10)	2358979384980790469	0 2 42 44 60 62 78 80 120 122	673965448758