Prime p₀= 2678461442990516789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2678460619817733497	0 14 62 102 132 194 200 204 290 294 300 362 392 432 480 494	-823172783292
TPT(16)	2678460690139430687	0 2 12 14 54 56 192 194 234 236 414 416 450 452 462 464	-752851086102
STPT(10)	2678460853806406211	0 2 6 8 48 50 90 92 96 98	-589184110578
SPT(16)	2678460948206253701	0 56 78 80 110 128 206 218 228 240 318 336 366 368 390 446	-494784263088
STPT(10)	2678461181544609047	0 2 30 32 72 74 114 116 144 146	-261445907742
TPT(14)	2678461314907930061	0 2 30 32 108 110 180 182 210 212 228 230 306 308	-128082586728
STPT(10)	2678461659364863011	0 2 6 8 48 50 90 92 96 98	216374346222
STPT(10)	2678461856833118957	0 2 12 14 42 44 72 74 84 86	413842602168
STPT(10)	2678462019710295389	0 2 18 20 30 32 42 44 60 62	576719778600
SPT(16)	2678462020982442059	0 2 18 32 54 150 164 170 192 198 212 308 330 344 360 362	577991925270
SPT(16)	2678462467244967743	0 8 30 54 86 104 156 170 264 278 330 348 380 404 426 434	1024254450954