Prime p₀= 2338434673483605209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 40 2 16 2

TPT(14)	2338433715945994991	0 2 30 32 156 158 198 200 210 212 216 218 258 260	-957537610218
TPT(14)	2338433895607136777	0 2 90 92 102 104 162 164 204 206 414 416 462 464	-777876468432
SPT(16)	2338434141722011147	0 12 40 52 70 72 106 112 150 156 190 192 210 222 250 262	-531761594062
TPT(14)	2338434263085475187	0 2 84 86 120 122 150 152 174 176 204 206 252 254	-410398130022
SPT(16)	2338434426123495083	0 98 116 138 170 186 194 206 258 270 278 294 326 348 366 464	-247360110126
STPT(10)	2338434460335130511	0 2 6 8 48 50 90 92 96 98	-213148474698
STPT(10)	2338434740504696591	0 2 6 8 18 20 30 32 36 38	67021091382
SPT(18)	2338435320050669641	0 48 58 96 112 142 168 196 216 292 312 340 366 396 412 450 460 508	646567064432
TPT(14)	2338435535741106419	0 2 72 74 120 122 168 170 228 230 288 290 300 302	862257501210
SPT(16)	2338435645465080221	0 8 20 26 62 92 110 152 156 198 216 246 282 288 300 308	971981475012
SPT(16)	2338435671687657173	0 8 78 80 86 120 144 146 228 230 254 288 294 296 366 374	998204051964