Prime p₀= 1289464587354128741 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Cruncher Pete
db: batch=77, k=10, 2 76 2 28 2

STPT(12)	1289463593938253141	0 2 36 38 78 80 168 170 210 212 246 248	-993415875600
STPT(10)	1289464285056906767	0 2 12 14 72 74 132 134 144 146	-302297221974
STPT(10)	1289464297161953501	0 2 120 122 138 140 156 158 276 278	-290192175240
STPT(10)	1289464339165001807	0 2 90 92 132 134 174 176 264 266	-248189126934
STPT(10)	1289464340405312969	0 2 42 44 60 62 78 80 120 122	-246948815772
SPT(16)	1289464397399670907	0 4 16 34 46 70 90 94 126 130 150 174 186 204 216 220	-189954457834
SPT(16)	1289464697611543637	0 56 62 86 132 134 204 230 276 302 372 374 420 444 450 506	110257414896
SPT(16)	1289464879132760101	0 6 46 52 72 76 78 88 90 100 102 106 126 132 172 178	291778631360
SPT(16)	1289464906461491483	0 20 26 48 80 86 96 188 216 308 318 324 356 378 384 404	319107362742
SPT(16)	1289464925209566577	0 6 10 16 52 70 72 120 196 244 246 264 300 306 310 316	337855437836
SPT(16)	1289465158047492929	0 2 20 32 54 62 104 114 128 138 180 188 210 222 240 242	570693364188