Prime p₀= 2315787723351322949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 40 2 76 2

SPT(16)	2315785629657423229	0 4 22 40 42 60 78 82 150 154 172 190 192 210 228 232	-2093693899720
SPT(16)	2315785706265855133	0 88 94 100 144 178 190 204 220 234 246 280 324 330 336 424	-2017085467816
SPT(18)	2315785998940414051	0 28 46 60 78 100 150 168 190 198 220 238 288 310 328 342 360 388	-1724410908898
STPT(10)	2315786903925859577	0 2 90 92 132 134 174 176 264 266	-819425463372
SPT(16)	2315787482515152719	0 50 78 84 98 128 140 164 168 192 204 234 248 254 282 332	-240836170230
SPT(16)	2315787584994405077	0 2 20 30 72 122 140 150 254 264 282 332 374 384 402 404	-138356917872
SPT(16)	2315787776249738239	0 12 22 30 114 124 144 148 204 208 228 238 322 330 340 352	52898415290
STPT(10)	2315787796664959649	0 2 42 44 90 92 138 140 180 182	73313636700
STPT(10)	2315788750140868967	0 2 30 32 42 44 54 56 84 86	1026789546018
SPT(16)	2315789021961648473	0 36 66 78 116 126 140 170 204 234 248 258 296 308 338 374	1298610325524
STPT(10)	2315789147950125389	0 2 12 14 90 92 168 170 180 182	1424598802440