Prime p₀= 2350360444182270857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: kashi
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2350359107604203239	0 4 22 42 52 64 70 82 90 102 108 120 130 150 168 172	-1336578067618
SPT(16)	2350359118788421001	0 50 128 140 162 170 182 188 270 276 288 296 318 330 408 458	-1325393849856
STPT(10)	2350359515989337777	0 2 12 14 42 44 72 74 84 86	-928192933080
STPT(12)	2350359688679077937	0 2 12 14 24 26 30 32 42 44 54 56	-755503192920
SPT(16)	2350360105135427641	0 76 90 102 120 132 142 172 240 270 280 292 310 322 336 412	-339046843216
STPT(10)	2350360157295085667	0 2 54 56 132 134 210 212 264 266	-286887185190
SPT(16)	2350360665746587211	0 72 78 86 110 126 128 152 156 180 182 198 222 230 236 308	221564316354
SPT(16)	2350360714813727503	0 4 6 16 40 66 90 150 160 220 244 270 294 304 306 310	270631456646
TPT(14)	2350361063214946679	0 2 18 20 252 254 300 302 342 344 450 452 498 500	619032675822
SPT(16)	2350361265957841531	0 10 28 40 42 48 70 90 238 258 280 286 288 300 318 328	821775570674
SPT(16)	2350361582307208027	0 34 46 82 90 112 166 172 204 210 264 286 294 330 342 376	1138124937170