Prime p₀= 1409707288227367991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1409705860680131563	0 30 40 70 96 106 108 150 154 196 198 208 234 264 274 304	-1427547236428
TPT(14)	1409706020360251067	0 2 24 26 114 116 180 182 240 242 252 254 264 266	-1267867116924
SPT(16)	1409706187388221589	0 80 84 114 122 158 168 194 198 224 234 270 278 308 312 392	-1100839146402
STPT(10)	1409706702398400611	0 2 6 8 18 20 30 32 36 38	-585828967380
SPT(16)	1409707072312065557	0 24 56 66 90 92 176 252 254 330 414 416 440 450 482 506	-215915302434
TPT(14)	1409707288227367949	0 2 30 32 42 44 78 80 120 122 162 164 198 200	-42
STPT(10)	1409707352969451629	0 2 18 20 30 32 42 44 60 62	64742083638
STPT(10)	1409707693938329801	0 2 36 38 78 80 120 122 156 158	405710961810
STPT(10)	1409707865089734137	0 2 30 32 72 74 114 116 144 146	576862366146
STPT(10)	1409708290389468437	0 2 30 32 42 44 54 56 84 86	1002162100446
SPT(16)	1409708310438168319	0 22 24 42 94 190 222 232 252 262 294 390 442 460 462 484	1022210800328