Prime p₀= 1016613425705133797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: HenkM
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1016612618616038797	0 34 124 150 166 174 192 220 276 304 322 330 346 372 462 496	-807089095000
STPT(10)	1016612639358104609	0 2 18 20 30 32 42 44 60 62	-786347029188
STPT(10)	1016612788963928909	0 2 18 20 30 32 42 44 60 62	-636741204888
SPT(16)	1016613148458449833	0 16 48 54 78 126 154 180 184 210 238 286 310 316 348 364	-277246683964
SPT(16)	1016613206516038601	0 2 38 56 78 98 108 222 236 350 360 380 402 420 456 458	-219189095196
SPT(16)	1016613410995972211	0 8 30 48 66 120 126 156 182 212 218 272 290 308 330 338	-14709161586
SPT(16)	1016613675089401423	0 4 46 60 84 138 154 166 228 240 256 310 334 348 390 394	249384267626
SPT(16)	1016613973909437731	0 18 48 72 86 128 146 218 240 312 330 372 386 410 440 458	548204303934
TPT(14)	1016614119836058617	0 2 12 14 150 152 222 224 234 236 240 242 282 284	694130924820
STPT(10)	1016614271810786849	0 2 48 50 90 92 132 134 180 182	846105653052
SPT(16)	1016614311414423467	0 20 42 54 74 84 126 176 180 230 272 282 302 314 336 356	885709289670