Prime p₀= 2391640326348144257 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: Conan
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2391638822908356907	0 12 22 30 34 64 84 90 106 112 132 162 166 174 184 196	-1503439787350
STPT(10)	2391639315278162861	0 2 6 8 18 20 30 32 36 38	-1011069981396
STPT(10)	2391639610072939229	0 2 48 50 90 92 132 134 180 182	-716275205028
SPT(16)	2391639891125753627	0 20 42 62 90 126 132 146 150 164 170 206 234 254 276 296	-435222390630
SPT(16)	2391640196494754567	0 26 36 60 92 104 146 150 176 180 222 234 266 290 300 326	-129853389690
TPT(14)	2391640258695926699	0 2 42 44 60 62 168 170 180 182 192 194 222 224	-67652217558
SPT(16)	2391640663345243237	0 4 6 30 82 96 114 124 132 142 160 174 226 250 252 256	336997098980
SPT(16)	2391640740681234157	0 34 64 70 76 82 126 142 174 190 234 240 246 252 282 316	414333089900
STPT(10)	2391640837271186321	0 2 6 8 18 20 30 32 36 38	510923042064
SPT(16)	2391640948809996731	0 12 30 60 78 92 110 150 170 210 228 242 260 290 308 320	622461852474
SPT(16)	2391641194622864213	0 18 24 30 96 156 186 198 236 248 278 338 404 410 416 434	868274719956