Prime p₀= 2294025251166533627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Ben
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2294024436750232181	0 8 20 32 90 102 146 150 158 162 206 218 276 288 300 308	-814416301446
STPT(10)	2294024638744572059	0 2 18 20 30 32 42 44 60 62	-612421961568
SPT(16)	2294024719511690801	0 20 56 72 186 212 236 258 320 342 366 392 506 522 558 578	-531654842826
SPT(16)	2294024726210239259	0 24 30 72 80 98 108 164 198 254 264 282 290 332 338 362	-524956294368
STPT(10)	2294024728615031849	0 2 48 50 90 92 132 134 180 182	-522551501778
SPT(16)	2294024803205874589	0 100 120 142 180 198 208 258 274 324 334 352 390 412 432 532	-447960659038
STPT(10)	2294025268840692719	0 2 48 50 90 92 132 134 180 182	17674159092
SPT(16)	2294025622357129033	0 10 84 114 118 184 198 220 234 256 270 336 340 370 444 454	371190595406
SPT(16)	2294026005665244803	0 14 24 36 108 110 134 150 254 270 294 296 368 380 390 404	754498711176
SPT(16)	2294026203956903177	0 12 20 32 54 114 126 144 152 170 182 242 264 276 284 296	952790369550
STPT(10)	2294026341583685279	0 2 18 20 30 32 42 44 60 62	1090417151652