Prime p₀= 2309037932626153577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

SPT(16)	2309037467005699877	0 6 14 24 32 56 74 90 116 132 150 174 182 192 200 206	-465620453700
STPT(10)	2309037561987996899	0 2 42 44 90 92 138 140 180 182	-370638156678
STPT(10)	2309037602756145431	0 2 30 32 78 80 126 128 156 158	-329870008146
SPT(16)	2309037639363421249	0 64 72 90 100 108 138 178 264 304 334 342 352 370 378 442	-293262732328
SPT(16)	2309037832775358271	0 28 46 48 58 66 70 100 168 198 202 210 220 222 240 268	-99850795306
SPT(16)	2309037905335106333	0 38 44 66 110 120 164 168 176 180 224 234 278 300 306 344	-27291047244
SPT(16)	2309037964582059367	0 12 24 34 40 52 70 90 94 114 132 144 150 160 172 184	31955905790
STPT(10)	2309038081144408487	0 2 30 32 42 44 54 56 84 86	148518254910
TPT(14)	2309038292261957489	0 2 48 50 120 122 162 164 228 230 252 254 270 272	359635803912
SPT(16)	2309038442838116299	0 4 10 24 52 60 94 100 312 318 352 360 388 402 408 412	510211962722
TPT(14)	2309039125332908249	0 2 30 32 72 74 210 212 318 320 360 362 372 374	1192706754672