Prime p₀= 2867395097542259057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2867394420277077469	0 28 48 58 64 72 102 114 148 160 190 198 204 214 234 262	-677265181588
STPT(10)	2867394453850060439	0 2 48 50 90 92 132 134 180 182	-643692198618
SPT(16)	2867394667135953091	0 12 16 40 90 100 126 148 180 202 228 238 288 312 316 328	-430406305966
SPT(16)	2867394823239727493	0 6 26 146 164 174 318 324 350 356 500 510 528 648 668 674	-274302531564
STPT(10)	2867394823716823571	0 2 78 80 108 110 138 140 216 218	-273825435486
SPT(16)	2867394895798100519	0 20 98 152 200 218 228 252 278 302 312 330 378 432 510 530	-201744158538
SPT(16)	2867395465431051097	0 22 30 64 72 100 102 112 114 124 126 154 162 196 204 226	367888792040
SPT(16)	2867395912018253449	0 4 52 72 84 130 144 150 184 190 204 250 262 282 330 334	814475994392
SPT(16)	2867396437182677759	0 2 74 80 90 102 132 170 204 242 272 284 294 300 372 374	1339640418702
SPT(16)	2867396554734088501	0 18 22 78 90 108 126 130 168 172 190 208 220 276 280 298	1457191829444
STPT(10)	2867396920263026267	0 2 30 32 42 44 54 56 84 86	1822720767210