Prime p₀= 1025714175023841227 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: Spectrum
db: batch=76, k=10, 2 10 2 28 2

TPT(14)	1025713414536942827	0 2 132 134 192 194 210 212 234 236 252 254 300 302	-760486898400
SPT(16)	1025713508640060091	0 10 12 36 66 82 112 148 150 186 216 232 262 286 288 298	-666383781136
STPT(10)	1025713574697541781	0 2 6 8 18 20 30 32 36 38	-600326299446
SPT(16)	1025713683390417809	0 8 54 78 98 134 188 194 198 204 258 294 314 338 384 392	-491633423418
STPT(10)	1025714069705510957	0 2 30 32 72 74 114 116 144 146	-105318330270
SPT(16)	1025714156807742331	0 70 72 88 118 130 132 138 160 166 168 180 210 226 228 298	-18216098896
TPT(14)	1025714497023819971	0 2 96 98 156 158 198 200 216 218 300 302 366 368	321999978744
SPT(16)	1025714538282320959	0 30 52 72 100 120 132 174 220 262 274 294 322 342 364 394	363258479732
STPT(10)	1025714542162750247	0 2 42 44 132 134 222 224 264 266	367138909020
SPT(16)	1025714661302696623	0 16 46 108 114 124 144 168 196 220 240 250 256 318 348 364	486278855396
STPT(10)	1025714778084838727	0 2 12 14 42 44 72 74 84 86	603060997500