Prime p₀= 2768844617612730929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2768843663837025977	0 2 42 44 72 74 102 104 144 146	-953775704952
STPT(10)	2768843772863173301	0 2 6 8 18 20 30 32 36 38	-844749557628
STPT(10)	2768843914060044641	0 2 6 8 18 20 30 32 36 38	-703552686288
SPT(16)	2768843968617815909	0 14 38 42 62 72 80 104 108 132 140 150 170 174 198 212	-648994915020
SPT(16)	2768844102642162491	0 30 42 48 50 72 102 108 182 188 218 240 242 248 260 290	-514970568438
SPT(16)	2768844401449882661	0 50 66 120 218 236 252 278 330 356 372 390 488 542 558 608	-216162848268
STPT(10)	2768844837701644157	0 2 30 32 42 44 54 56 84 86	220088913228
STPT(10)	2768845437926602787	0 2 30 32 42 44 54 56 84 86	820313871858
SPT(16)	2768845573244253959	0 14 42 78 84 102 110 144 158 192 200 218 224 260 288 302	955631523030
SPT(16)	2768845582321545413	0 8 26 30 66 68 84 86 108 110 126 128 164 168 186 194	964708814484
TPT(14)	2768845736123892497	0 2 90 92 210 212 294 296 450 452 504 506 510 512	1118511161568