Prime p₀= 2396302350735921539 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: JonS
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2396299910118469517	0 2 30 32 42 44 54 56 84 86	-2440617452022
SPT(16)	2396300196072550871	0 8 12 26 42 50 110 138 140 168 228 236 252 266 270 278	-2154663370668
TPT(14)	2396300785899263627	0 2 42 44 180 182 270 272 282 284 294 296 312 314	-1564836657912
SPT(16)	2396300842980733841	0 8 20 36 38 42 48 78 80 110 116 120 122 138 150 158	-1507755187698
SPT(16)	2396301733466380589	0 48 78 90 104 114 122 128 174 180 188 198 212 224 254 302	-617269540950
SPT(16)	2396302040726655167	0 30 32 36 56 60 120 144 152 176 236 240 260 264 266 296	-310009266372
SPT(16)	2396302424328246617	0 2 32 50 60 80 102 120 122 140 162 182 192 210 240 242	73592325078
SPT(16)	2396302639488945653	0 36 50 74 114 126 246 354 410 518 638 650 690 714 728 764	288753024114
TPT(14)	2396302836789176039	0 2 102 104 132 134 138 140 168 170 240 242 258 260	486053254500
STPT(10)	2396302951239515567	0 2 12 14 42 44 72 74 84 86	600503594028
SPT(16)	2396303694218077733	0 18 20 60 84 96 110 138 146 174 188 200 224 264 266 284	1343482156194