Prime p₀= 2306785637033096027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2306784497358922291	0 12 18 40 42 46 60 76 132 148 162 166 168 190 196 208	-1139674173736
TPT(14)	2306784546503909621	0 2 48 50 90 92 120 122 156 158 186 188 240 242	-1090529186406
TPT(14)	2306784738110688971	0 2 48 50 246 248 258 260 366 368 378 380 420 422	-898922407056
STPT(10)	2306784932240898449	0 2 18 20 30 32 42 44 60 62	-704792197578
STPT(10)	2306785214710148189	0 2 42 44 90 92 138 140 180 182	-422322947838
STPT(10)	2306785382272820357	0 2 30 32 42 44 54 56 84 86	-254760275670
SPT(16)	2306786319567586657	0 16 40 52 114 124 150 154 162 166 192 202 264 276 300 316	682534490630
SPT(16)	2306786418102911299	0 18 42 100 112 148 162 168 172 178 192 228 240 298 322 340	781069815272
STPT(10)	2306786624956901609	0 2 18 20 30 32 42 44 60 62	987923805582
SPT(16)	2306787104412499613	0 20 24 36 56 98 108 120 134 146 156 198 218 230 234 254	1467379403586
SPT(16)	2306787236867150881	0 16 18 82 90 96 120 156 172 208 232 238 246 310 312 328	1599834054854