Prime p₀= 2296629511105403867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2296628063892469631	0 2 30 32 36 38 210 212 240 242 258 260 288 290	-1447212934236
SPT(16)	2296628378743686107	0 30 32 42 60 66 96 110 156 170 200 206 224 234 236 266	-1132361717760
SPT(16)	2296628437518795293	0 14 20 60 96 110 138 140 144 146 174 188 224 264 270 284	-1073586608574
SPT(16)	2296628545304433643	0 4 18 64 88 94 106 118 186 198 210 216 240 286 300 304	-965800970224
TPT(14)	2296628634117817271	0 2 96 98 150 152 180 182 228 230 240 242 390 392	-876987586596
SPT(16)	2296628838359635891	0 18 46 48 70 96 108 130 138 160 172 198 220 222 250 268	-672745767976
STPT(10)	2296629615271497521	0 2 36 38 78 80 120 122 156 158	104166093654
SPT(16)	2296629762091332827	0 26 60 80 104 126 150 162 164 176 200 222 246 266 300 326	250985928960
TPT(14)	2296629825884348567	0 2 42 44 54 56 90 92 114 116 174 176 240 242	314778944700
SPT(16)	2296629969319649191	0 18 48 60 82 120 126 156 172 202 208 246 268 280 310 328	458214245324
STPT(10)	2296630054456234697	0 2 30 32 72 74 114 116 144 146	543350830830