Prime p₀= 2658138989853040451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: biodoc
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2658138143678314447	0 12 16 42 72 82 150 156 160 166 234 244 274 300 304 316	-846174726004
SPT(16)	2658138302247171703	0 24 66 78 94 144 154 166 168 180 190 240 256 268 310 334	-687605868748
SPT(16)	2658138422031641687	0 6 26 32 54 66 84 144 182 242 260 272 294 300 320 326	-567821398764
SPT(16)	2658138441548138869	0 40 42 48 84 94 118 124 138 144 168 178 214 220 222 262	-548304901582
SPT(16)	2658138627664896847	0 30 70 100 106 126 132 142 204 214 220 240 246 276 316 346	-362188143604
STPT(10)	2658138632383870841	0 2 6 8 18 20 30 32 36 38	-357469169610
STPT(10)	2658139740379995629	0 2 18 20 30 32 42 44 60 62	750526955178
SPT(16)	2658139938103390801	0 22 46 48 60 82 88 118 210 240 246 268 280 282 306 328	948250350350
TPT(14)	2658140173774818179	0 2 12 14 18 20 30 32 72 74 168 170 210 212	1183921777728
SPT(16)	2658141264685590769	0 82 204 250 294 310 352 360 394 402 444 460 504 550 672 754	2274832550318
STPT(10)	2658141294055519169	0 2 18 20 60 62 102 104 120 122	2304202478718