Prime p₀= 2322115773896491787 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2322114538221356353	0 40 46 54 66 76 126 150 160 184 234 244 256 264 270 310	-1235675135434
SPT(16)	2322114565351361317	0 12 42 70 124 190 196 232 234 270 276 342 396 424 454 466	-1208545130470
STPT(10)	2322114761157451847	0 2 30 32 72 74 114 116 144 146	-1012739039940
TPT(14)	2322114915703399301	0 2 6 8 18 20 36 38 90 92 210 212 246 248	-858193092486
STPT(10)	2322114935628180071	0 2 36 38 78 80 120 122 156 158	-838268311716
SPT(16)	2322115581539155979	0 2 24 38 42 80 110 114 188 192 222 260 264 278 300 302	-192357335808
STPT(10)	2322115821289934609	0 2 42 44 60 62 78 80 120 122	47393442822
SPT(16)	2322116621822447129	0 8 18 84 98 110 114 144 194 224 228 240 254 320 330 338	847925955342
SPT(16)	2322116799781379707	0 10 16 22 96 106 124 142 234 252 270 280 354 360 366 376	1025884887920
SPT(16)	2322116906754789983	0 26 54 56 104 150 156 170 210 224 230 276 324 326 354 380	1132858298196
SPT(16)	2322117129803572817	0 30 44 56 62 72 80 102 314 336 344 354 360 372 386 416	1355907081030