Prime p₀= 2306666600353623647 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2306663635677537677	0 2 30 32 72 74 114 116 144 146	-2964676085970
TPT(14)	2306663731450354097	0 2 54 56 84 86 150 152 174 176 204 206 222 224	-2868903269550
SPT(16)	2306663774443071871	0 6 36 46 70 76 100 148 198 246 270 276 300 310 340 346	-2825910551776
STPT(10)	2306664970646334209	0 2 18 20 30 32 42 44 60 62	-1629707289438
SPT(16)	2306665483458918779	0 2 32 38 44 54 68 72 80 84 98 108 114 120 150 152	-1116894704868
STPT(10)	2306665731072560129	0 2 18 20 30 32 42 44 60 62	-869281063518
SPT(16)	2306666802924788099	0 12 24 48 60 90 104 144 188 228 242 272 284 308 320 332	202571164452
SPT(18)	2306667355201440919	0 18 22 30 42 78 100 112 168 172 228 240 262 298 310 318 322 340	754847817272
STPT(10)	2306667641842484069	0 2 78 80 120 122 162 164 240 242	1041488860422
STPT(10)	2306667801984816239	0 2 12 14 30 32 48 50 60 62	1201631192592
SPT(16)	2306668339952268871	0 12 28 40 46 52 82 88 90 96 126 132 138 150 166 178	1739598645224