Prime p₀= 2124578787766767359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Time_Traveler
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2124576899197505261	0 6 32 42 48 66 92 132 176 216 242 260 266 276 302 308	-1888569262098
SPT(16)	2124577316715289087	0 4 10 40 60 84 124 130 144 150 190 214 234 264 270 274	-1471051478272
STPT(10)	2124577883839659299	0 2 18 20 30 32 42 44 60 62	-903927108060
TPT(14)	2124578118837994217	0 2 24 26 30 32 180 182 192 194 234 236 360 362	-668928773142
STPT(10)	2124578423450496197	0 2 30 32 162 164 294 296 324 326	-364316271162
SPT(16)	2124578781767023199	0 38 48 60 80 90 98 102 128 132 140 150 170 182 192 230	-5999744160
TPT(14)	2124579191956056131	0 2 36 38 90 92 126 128 156 158 228 230 240 242	404189288772
SPT(16)	2124579307510234933	0 18 30 78 100 114 124 130 138 144 154 168 190 238 250 268	519743467574
TPT(14)	2124579546976238249	0 2 18 20 42 44 60 62 72 74 78 80 228 230	759209470890
SPT(16)	2124579873734885383	0 6 40 70 84 90 166 180 190 204 280 286 300 330 364 370	1085968118024
SPT(16)	2124579941962156387	0 22 52 60 112 126 132 144 262 274 280 294 346 354 384 406	1154195389028