Prime p₀= 3006715464648417341 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: Orange Kid
db: batch=82, k=10, 2 64 2 70 2

SPT(16)	3006714320701892609	0 12 50 74 78 110 120 134 138 152 162 194 198 222 260 272	-1143946524732
SPT(16)	3006714411699734761	0 18 28 70 72 102 142 156 202 216 256 286 288 330 340 358	-1052948682580
SPT(13)	3006714469188697493	0 6 36 66 84 90 120 150 156 174 204 234 240	-995459719848
STPT(10)	3006714518009961041	0 2 6 8 48 50 90 92 96 98	-946638456300
SPT(16)	3006714608778061241	0 2 20 60 78 90 98 102 128 132 140 152 170 210 228 230	-855870356100
STPT(10)	3006715058339241251	0 2 36 38 78 80 120 122 156 158	-406309176090
STPT(12)	3006715603829457857	0 2 72 74 84 86 150 152 162 164 234 236	139181040516
SPT(16)	3006715965522453889	0 12 28 52 78 84 102 172 210 280 298 304 330 354 370 382	500874036548
SPT(16)	3006716008942870073	0 36 50 56 80 84 90 146 168 224 230 234 258 264 278 314	544294452732
STPT(10)	3006716095380490301	0 2 6 8 48 50 90 92 96 98	630732072960
SPT(16)	3006716188312625101	0 22 78 118 120 162 180 322 426 568 586 628 630 670 726 748	723664207760