Prime p₀= 2497791025466394797 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2497789638941728217	0 6 42 56 74 104 182 204 212 234 312 342 360 374 410 416	-1386524666580
SPT(16)	2497789792332772661	0 6 12 36 50 62 92 138 170 216 246 258 272 296 302 308	-1233133622136
SPT(16)	2497790235965193031	0 22 42 48 58 70 78 102 118 142 150 162 172 178 198 220	-789501201766
SPT(16)	2497790263879782023	0 6 14 50 60 80 104 110 174 180 204 224 234 270 278 284	-761586612774
SPT(16)	2497790313578327177	0 26 42 44 92 104 126 132 224 230 252 264 312 314 330 356	-711888067620
SPT(16)	2497790837277629837	0 32 42 60 66 80 84 114 182 212 216 230 236 254 264 296	-188188764960
STPT(10)	2497791187578359549	0 2 30 32 60 62 90 92 120 122	162111964752
STPT(10)	2497791511803595487	0 2 30 32 42 44 54 56 84 86	486337200690
TPT(14)	2497791669079485797	0 2 30 32 54 56 102 104 132 134 174 176 270 272	643613091000
SPT(16)	2497791710696387293	0 16 40 58 60 70 88 96 100 108 126 136 138 156 180 196	685229992496
STPT(10)	2497791724862470637	0 2 30 32 42 44 54 56 84 86	699396075840