Prime p₀= 2164274110430921309 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2164273077675814531	0 10 40 60 72 82 112 130 138 156 186 196 208 228 258 268	-1032755106778
STPT(10)	2164273247035295741	0 2 36 38 78 80 120 122 156 158	-863395625568
SPT(16)	2164273321911921587	0 2 6 44 120 134 180 182 204 206 252 266 342 380 384 386	-788518999722
SPT(16)	2164273342585133737	0 12 46 52 66 100 102 156 166 220 222 256 270 276 310 322	-767845787572
SPT(16)	2164273978374096707	0 32 44 72 84 114 122 150 164 192 200 230 242 270 282 314	-132056824602
SPT(16)	2164274007720509933	0 8 26 36 84 120 140 164 180 204 224 260 308 318 336 344	-102710411376
SPT(16)	2164274370543493877	0 14 56 96 120 132 144 146 210 212 224 236 260 300 342 356	260112572568
STPT(10)	2164274428111309487	0 2 30 32 42 44 54 56 84 86	317680388178
STPT(10)	2164274482279905167	0 2 12 14 42 44 72 74 84 86	371848983858
TPT(14)	2164274550137966807	0 2 114 116 162 164 270 272 300 302 342 344 384 386	439707045498
SPT(16)	2164274676165895919	0 14 54 140 150 152 170 192 350 372 390 392 402 488 528 542	565734974610