Prime p₀= 2135964849172144811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Coleslaw
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2135962596119763743	0 24 30 98 126 168 170 210 254 294 296 338 366 434 440 464	-2253052381068
SPT(16)	2135962842223630187	0 32 50 56 60 74 96 110 126 140 162 176 180 186 204 236	-2006948514624
STPT(10)	2135963044961488121	0 2 36 38 78 80 120 122 156 158	-1804210656690
TPT(14)	2135963410708977557	0 2 12 14 54 56 114 116 120 122 210 212 222 224	-1438463167254
SPT(16)	2135963696960080067	0 36 44 62 80 92 122 146 150 174 204 216 234 252 260 296	-1152212064744
STPT(12)	2135964086354795867	0 2 42 44 60 62 84 86 102 104 144 146	-762817348944
SPT(16)	2135964919897431923	0 26 86 114 138 180 188 240 254 306 314 356 380 408 468 494	70725287112
STPT(10)	2135965167699545069	0 2 18 20 30 32 42 44 60 62	318527400258
SPT(16)	2135965178758727023	0 10 58 66 78 94 130 138 196 204 240 256 268 276 324 334	329586582212
TPT(14)	2135965252846445261	0 2 36 38 90 92 96 98 150 152 168 170 180 182	403674300450
SPT(16)	2135965809985282621	0 16 40 76 82 100 106 132 190 216 222 240 246 282 306 322	960813137810