Prime p₀= 3978749512168761287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Manuel Stenschke
db: batch=84, k=10, 2 10 2 28 2

SPT(16)	3978746428820863901	0 6 12 18 38 80 116 122 126 132 168 210 230 236 242 248	-3083347897386
SPT(16)	3978746590044535013	0 6 20 74 104 116 126 174 176 224 234 246 276 330 344 350	-2922124226274
SPT(16)	3978747706451948491	0 28 70 88 96 130 132 136 162 166 168 202 210 228 270 298	-1805716812796
SPT(16)	3978747796511759819	0 14 20 30 42 108 120 132 290 302 314 380 392 402 408 422	-1715657001468
SPT(16)	3978748278269575999	0 4 18 24 52 138 154 160 192 198 214 300 328 334 348 352	-1233899185288
STPT(12)	3978748650452782979	0 2 48 50 78 80 90 92 120 122 168 170	-861715978308
STPT(10)	3978749890124958899	0 2 18 20 30 32 42 44 60 62	377956197612
SPT(16)	3978750016122066037	0 40 46 66 136 156 186 256 264 334 364 384 454 474 480 520	503953304750
SPT(16)	3978750737416643129	0 8 12 14 78 90 120 128 144 152 182 194 258 260 264 272	1225247881842
TPT(14)	3978750973908133517	0 2 42 44 84 86 90 92 162 164 174 176 204 206	1461739372230
STPT(10)	3978751001619022787	0 2 30 32 72 74 114 116 144 146	1489450261500