Prime p₀= 2044740725721780209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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=80, k=10, 2 10 2 16 2

SPT(16)	2044739098303260523	0 10 48 64 94 108 138 178 180 220 250 264 294 310 348 358	-1627418519686
SPT(16)	2044739102618261507	0 24 72 84 86 122 150 156 230 236 264 300 302 314 362 386	-1623103518702
STPT(10)	2044739350643895077	0 2 42 44 72 74 102 104 144 146	-1375077885132
SPT(16)	2044739413226683991	0 2 38 60 108 126 140 156 242 258 272 290 338 360 396 398	-1312495096218
SPT(16)	2044739758930391113	0 6 28 34 48 66 78 96 148 166 178 196 210 216 238 244	-966791389096
TPT(14)	2044740026822178767	0 2 72 74 90 92 210 212 222 224 240 242 300 302	-698899601442
STPT(10)	2044740818459840489	0 2 18 20 30 32 42 44 60 62	92738060280
STPT(10)	2044741102135750817	0 2 30 32 42 44 54 56 84 86	376413970608
SPT(16)	2044741166966693879	0 78 92 162 258 260 288 290 360 362 390 392 488 558 572 650	441244913670
STPT(10)	2044741460547624101	0 2 6 8 48 50 90 92 96 98	734825843892
SPT(16)	2044741484681708641	0 6 12 48 52 78 90 166 192 268 280 306 310 346 352 358	758959928432