Prime p₀= 2564762130483410951 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2564761240737008597	0 26 74 92 102 140 152 174 182 204 216 254 264 282 330 356	-889746402354
STPT(10)	2564761575103030727	0 2 12 14 72 74 132 134 144 146	-555380380224
SPT(16)	2564761777573489331	0 36 50 60 66 96 138 146 180 188 230 260 266 276 290 326	-352909921620
SPT(16)	2564761909487235259	0 58 60 142 162 184 198 204 208 214 228 250 270 352 354 412	-220996175692
SPT(16)	2564762106092336239	0 12 60 160 172 180 238 244 258 264 322 330 342 442 490 502	-24391074712
STPT(10)	2564762126184687629	0 2 48 50 90 92 132 134 180 182	-4298723322
STPT(10)	2564762524740603797	0 2 30 32 42 44 54 56 84 86	394257192846
SPT(16)	2564762817898396991	0 12 30 38 42 80 108 120 128 140 168 206 210 218 236 248	687414986040
SPT(16)	2564762892129405521	0 8 32 38 42 66 78 102 116 140 152 176 180 186 210 218	761645994570
SPT(16)	2564762900224385617	0 30 60 70 72 102 106 126 130 150 154 184 186 196 226 256	769740974666
SPT(16)	2564763147889159589	0 38 60 72 102 108 110 138 182 210 212 218 248 260 282 320	1017405748638