Prime p₀= 2309223557814053339 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

TPT(14)	2309222064535419497	0 2 72 74 120 122 162 164 270 272 294 296 300 302	-1493278633842
SPT(16)	2309222071349221643	0 18 30 44 80 90 108 156 158 206 224 234 270 284 296 314	-1486464831696
SPT(16)	2309222080502542831	0 30 36 120 132 178 190 226 252 288 300 346 358 442 448 478	-1477311510508
SPT(16)	2309222184858316667	0 2 90 92 132 144 174 206 210 242 272 284 324 326 414 416	-1372955736672
STPT(10)	2309222191157302241	0 2 6 8 18 20 30 32 36 38	-1366656751098
SPT(18)	2309223027268930891	0 6 28 40 42 46 60 66 70 108 112 118 132 136 138 150 172 178	-530545122448
SPT(16)	2309223558416279339	0 18 72 80 108 120 158 162 170 174 212 224 252 260 314 332	602226000
SPT(16)	2309223576898747163	0 6 30 48 84 110 114 134 180 200 204 230 266 284 308 314	19084693824
STPT(10)	2309224014281915849	0 2 18 20 30 32 42 44 60 62	456467862510
TPT(14)	2309224128043541207	0 2 30 32 42 44 72 74 90 92 102 104 114 116	570229487868
STPT(10)	2309224175912879801	0 2 36 38 78 80 120 122 156 158	618098826462