Prime p₀= 2396007359775202907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [AF] Kalianthys
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2396005930918910017	0 16 36 66 82 100 102 154 222 274 276 294 310 340 360 376	-1428856292890
STPT(12)	2396006136544661789	0 2 30 32 78 80 120 122 168 170 198 200	-1223230541118
SPT(16)	2396006784306080213	0 48 60 86 90 98 104 116 228 240 246 254 258 284 296 344	-575469122694
SPT(16)	2396006983810909873	0 34 40 46 76 88 94 118 186 210 216 228 258 264 270 304	-375964293034
TPT(14)	2396007155278102151	0 2 30 32 36 38 60 62 90 92 126 128 156 158	-204497100756
STPT(10)	2396007297614144867	0 2 42 44 72 74 102 104 144 146	-62161058040
SPT(16)	2396008377236666317	0 66 112 114 126 132 142 156 220 234 244 250 262 264 310 376	1017461463410
STPT(10)	2396008547423008937	0 2 42 44 72 74 102 104 144 146	1187647806030
STPT(10)	2396008551812943167	0 2 60 62 72 74 84 86 144 146	1192037740260
SPT(16)	2396008852098780131	0 26 78 92 120 162 180 182 246 248 266 308 336 350 402 428	1492323577224
STPT(10)	2396009070436644107	0 2 30 32 42 44 54 56 84 86	1710661441200