Prime p₀= 2338434740504696591 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: Landjunge
db: batch=81, k=10, 2 4 2 10 2

TPT(14)	2338433895607136777	0 2 90 92 102 104 162 164 204 206 414 416 462 464	-844897559814
SPT(16)	2338434141722011147	0 12 40 52 70 72 106 112 150 156 190 192 210 222 250 262	-598782685444
TPT(14)	2338434263085475187	0 2 84 86 120 122 150 152 174 176 204 206 252 254	-477419221404
SPT(16)	2338434426123495083	0 98 116 138 170 186 194 206 258 270 278 294 326 348 366 464	-314381201508
STPT(10)	2338434460335130511	0 2 6 8 48 50 90 92 96 98	-280169566080
STPT(10)	2338434673483605209	0 2 42 44 60 62 78 80 120 122	-67021091382
SPT(18)	2338435320050669641	0 48 58 96 112 142 168 196 216 292 312 340 366 396 412 450 460 508	579545973050
TPT(14)	2338435535741106419	0 2 72 74 120 122 168 170 228 230 288 290 300 302	795236409828
SPT(16)	2338435645465080221	0 8 20 26 62 92 110 152 156 198 216 246 282 288 300 308	904960383630
SPT(16)	2338435671687657173	0 8 78 80 86 120 144 146 228 230 254 288 294 296 366 374	931182960582
SPT(16)	2338436000547789521	0 2 12 56 110 176 260 266 366 372 456 522 576 620 630 632	1260043092930