Prime p₀= 2330570252902393937 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: MarkRBright
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2330568553379986009	0 30 82 88 112 172 228 234 298 304 360 420 444 450 502 532	-1699522407928
STPT(10)	2330568619370026307	0 2 24 26 42 44 60 62 84 86	-1633532367630
SPT(16)	2330569385234902051	0 22 36 42 58 106 142 162 226 246 282 330 346 352 366 388	-867667491886
SPT(16)	2330569804619635037	0 12 44 72 92 120 132 134 180 182 194 222 242 270 302 314	-448282758900
SPT(16)	2330570043867719957	0 32 132 134 146 150 210 234 242 266 326 330 342 344 444 476	-209034673980
SPT(16)	2330570093092773053	0 18 54 60 78 90 110 120 158 168 188 200 218 224 260 278	-159809620884
STPT(10)	2330570686087114349	0 2 48 50 90 92 132 134 180 182	433184720412
STPT(10)	2330570829674297447	0 2 30 32 42 44 54 56 84 86	576771903510
SPT(16)	2330570945221982069	0 14 48 50 84 92 104 158 204 258 270 278 312 314 348 362	692319588132
STPT(10)	2330571271406956379	0 2 42 44 90 92 138 140 180 182	1018504562442
SPT(16)	2330571401146722047	0 42 110 150 194 224 234 242 264 272 282 312 356 396 464 506	1148244328110