Prime p₀= 2216723958959987801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2216722635993985303	0 64 70 94 106 130 148 186 238 276 294 318 330 354 360 424	-1322966002498
SPT(16)	2216722739049564919	0 4 10 42 52 54 70 88 174 192 208 210 220 252 258 262	-1219910422882
SPT(16)	2216722803604469869	0 10 34 78 90 172 184 210 262 288 300 382 394 438 462 472	-1155355517932
STPT(10)	2216723443046840417	0 2 30 32 42 44 54 56 84 86	-515913147384
SPT(16)	2216723460693370361	0 20 38 78 80 116 132 140 168 176 192 228 230 270 288 308	-498266617440
SPT(16)	2216723876351691139	0 10 94 130 160 192 222 250 264 292 322 354 384 420 504 514	-82608296662
SPT(16)	2216723979199583531	0 32 66 68 98 110 122 138 200 216 228 240 270 272 306 338	20239595730
SPT(16)	2216724005328573877	0 64 66 76 100 120 126 154 156 184 190 210 234 244 246 310	46368586076
TPT(14)	2216724537735647279	0 2 30 32 90 92 132 134 138 140 222 224 228 230	578775659478
SPT(16)	2216724581603693501	0 18 36 218 222 228 272 302 396 426 470 476 480 662 680 698	622643705700
SPT(16)	2216724821309904877	0 12 30 60 90 100 112 114 142 144 156 166 196 226 244 256	862349917076